Questions on Algebra: Equations answered by real tutors!

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Question 1156559: Write the expression as one logarithm.
2 log y^7/x − 5 log y + 1/2 log(x^4y^2)
I got log (y^14/x^7)/(y^5x^2y) which is wrong.
Click here to see answer by MathLover1(20849)

Question 1156559: Write the expression as one logarithm.
2 log y^7/x − 5 log y + 1/2 log(x^4y^2)
I got log (y^14/x^7)/(y^5x^2y) which is wrong.
Click here to see answer by greenestamps(13200)

Question 1156559: Write the expression as one logarithm.
2 log y^7/x − 5 log y + 1/2 log(x^4y^2)
I got log (y^14/x^7)/(y^5x^2y) which is wrong.
Click here to see answer by MathTherapy(10552)

Question 1156557: Express in terms of logarithms of x, y, z, or w.
x^6 w
log(base a)=------
y^2 z^4
What does this mean?

Click here to see answer by josgarithmetic(39617)

Question 1156582: what is the answer for -2x-3y=-7

Click here to see answer by josmiceli(19441)

Question 1156594: Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
log(x + 3) = 1 − log(x − 2)
Since the bases are the same I set them equal to each other and got x+3=1-x+2 and solved to get x=0 which is incorrect. What did I do wrong?
Click here to see answer by Alan3354(69443)

Question 1156590: Express in terms of logarithms of x, y, z, or w.
ln ((fourth root)x^6/y^3z))

Click here to see answer by josgarithmetic(39617)

Question 1156590: Express in terms of logarithms of x, y, z, or w.
ln ((fourth root)x^6/y^3z))

Click here to see answer by Edwin McCravy(20055)

Question 1156649: (x+y)^2-(x+y)^2=64. Given that x and y are positive integers, which of the following cannot be the value of x+y?
A.8 B.10 C.17 D.24

Click here to see answer by ikleyn(52781)

Question 1156706: Mrs.Brock want to get a family portrait taken and is comparing prices between two different photography companies. Cameron photography charges 24 per portrait sheet plus 81 for the session fee.Lasting memory company charges 57 for the session fee and 25 per portrait sheet. If Mrs. Brock plans to purchase a certain number of portrait sheets, the cost will be the same at either studio. What would the total cost be? How many portrait sheets will that be?
Click here to see answer by josmiceli(19441)

Question 1156733: Gonzo and his friend Duke are heading out to San Diego on a road trip. From Gonzo's front door to downtown San Diego, the trip is 495 miles. Answer the following questions based upon this situation.
Click here to see answer by Alan3354(69443)

Question 1156741: if f(1)=5 and f(n)=-3f(n-1) then f(4)=
Click here to see answer by greenestamps(13200)

Question 1156794: Hiroshi is 1.6 meters tall
and casts a shadow 0.53 meter in
length. How tall is a flagpole if it casts
a shadow 2.65 meters in length?

Click here to see answer by MathLover1(20849)

Question 1156820: If 10a+2b=15 and 5a=4b,what is the value of a+b?

Click here to see answer by Alan3354(69443)

Question 1156859: the following have graphs that are transformations of y=x^2. For each gives the transformation in the number of units right or left, and numbers up and down.
1. f(x)=x^2-6x+12
2. f(x)=x^2+2x-4.
3. f(x)=x^2-2x+10
4. f(x)=x^2+12x+48
Click here to see answer by josgarithmetic(39617)

Question 1156878: Please help me list the directions,vertex, axis of symmetry, table of 5 points, graph
F(x)=x^2-2
Click here to see answer by MathLover1(20849)

Question 1157008: 15. f(x)=-(x+4)^2
I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation
Click here to see answer by josgarithmetic(39617)

Question 1157010: 17.
I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation.
f(x)=-1/2x^2
Click here to see answer by josgarithmetic(39617)

Question 1157013: 20.
I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation
f(x)=x^2-2x-5
Click here to see answer by josgarithmetic(39617)

Question 1157012: 19.

I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation
f(x)=(x-6)^2+2
Click here to see answer by Boreal(15235)

Question 1157025: Please help me list the directions,vertex, axis of symmetry, table of 5 points, graph ?
1.F(x)= (x-6)^2+2
2. F(x) = x^2-2x-5
Click here to see answer by MathLover1(20849)

Question 1157028: Please help me list the directions,vertex, axis of symmetry, table of 5 points, graph ?
1.F(x)= -(x+4)^2
2.F(x)= -1/3(x-1)^2-2

Click here to see answer by ikleyn(52781)

Question 1157053: Express in terms of logarithms of x, y, z, or w.
x^6 w
--------=ln(base a)
y^2 z^4
I put 6 times ln(x) +ln (w) - 2 times ln(y)-4 times ln(z) which is wrong
Click here to see answer by Alan3354(69443)

Question 1156999: 14.
I need help graphing the following and listing the directions, vertex, axis of symmetry, table with 5 points and the graph for this equation
f(x)= x^2-2
Click here to see answer by Alan3354(69443)

Question 1157054: Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
log(base 2)(x + 3) = log(base 2)(x − 3) + log(base 5) 25 + 7^log(base 7)3
Click here to see answer by Alan3354(69443)

Question 1157027: Please help me list the directions,vertex, axis of symmetry, table of 5 points, graph ?
1.F(x)= -1/2x^2
2.F(x)=2(x+1)^2-3
Click here to see answer by MathLover1(20849)

Question 1157055: By using "integrals": Calculate the perimeter of an area in order to obtain the maximum number of trees that can fit in it.

Click here to see answer by ikleyn(52781)

Question 1157077: x + 2 y = 20 ; x + 3 y = 10
Click here to see answer by ikleyn(52781)

Question 1157077: x + 2 y = 20 ; x + 3 y = 10
Click here to see answer by MathLover1(20849)

Question 1157011: 18.

I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation
f(x)=2(x+1)^2-3
Click here to see answer by MathLover1(20849)

Question 1157134: this exercise uses the population growth model.
A certain species of bird was introduced in a certain county 25 years ago. Biologists observe that the population doubles every 10 years, and now the population is 19,000.
(a) What was the initial size of the bird population? (Round your answer to the nearest whole number.)
______birds
(b) Estimate the bird population 7 years from now. (Round your answer to the nearest whole number.)
__________birds
Click here to see answer by ikleyn(52781)

Question 1157009: 16.
I need help graphing the following and listing the directions, vertex, axis of symmetry,table with 5 points and the graph for this equation
f(x)= -1/3(x-1)^2-2
Click here to see answer by MathLover1(20849)

Question 1157132: A certain culture of the bacterium Rhodobacter sphaeroides initially has 40 bacteria and is observed to double every 6 hours.
(a) Find an exponential model
n(t) = n02t/a
for the number of bacteria in the culture after t hours.
n(t) =___________
(b) Estimate the number of bacteria after 15 hours. (Round your answer to the nearest whole number.)
______bacteria
(c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.)
t = ________hr
Click here to see answer by Boreal(15235)

Question 1157139: A woman invests $6500 in an account that pays 6% interest per year, compounded continuously.
(a) What is the amount after 3 years? (Round your answer to the nearest cent.)
$_______

(b) How long will it take for the amount to be $10,000? (Round your answer to two decimal places.)
_______yrs

Click here to see answer by Alan3354(69443)

Question 1157177: Carbon-14 has a half-life of 5,730 years. A fossil is found that has 26% of the carbon-14 found in a living sample. How old is the fossil? (Round your answer to the nearest year.)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1157178: The population of a certain city was 110,000 in 2014, and the observed doubling time for the population is 18 years.
(a) Find an exponential model
n(t) = n02t/a
for the population t years after 2014.
n(t) =

(b) Find an exponential model
n(t) = n0ert
for the population t years after 2014. (Round your r value to four decimal places.)
n(t) =

Click here to see answer by Theo(13342)

Question 1157220: Find f(k-1) when f(x) =4x^2-3x+4
Click here to see answer by Alan3354(69443)

Question 1157269: Write the equation of a line that goes through the point (4, -3) and is perpendicular to the line x−4y=16
Click here to see answer by Boreal(15235)

Question 1157269: Write the equation of a line that goes through the point (4, -3) and is perpendicular to the line x−4y=16
Click here to see answer by MathLover1(20849)

Question 1157471: A person borrows $10,000 at a 4% simple interest rate for 1/2 year. How much simple interest I in dollars is owed on the loan at the end of 1/2 year? (Enter an exact number.)
Click here to see answer by mananth(16946)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580