Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 134884: Express as a single logarithm with a coefficient of 1
3log(x)+2log(y)-3log(z)
Click here to see answer by solver91311(17059)

Question 134883: How do I express this in exp form?
2Ln(x)+3Ln(y)=2
Click here to see answer by stanbon(57940)

Question 134904: This problem I don't understand due to the fact that it gives me only a few numbers to work with.
Given: and
The question:
The problem is that I get to where I split up the 12 to 3*4, but that is as far as I got.
Click here to see answer by solver91311(17059)

Question 134987: Please help me solve this:
.
x is the multiplication sign.
Click here to see answer by stanbon(57940)

Question 134986: Please help me solve this natural logarithm:
ln p=6.0
Click here to see answer by stanbon(57940)

Question 134984: Please help me solve this logarithm:
log to the base of 8 of number -2 = -8.
or
log(base of 8)-2=-8.
Click here to see answer by stanbon(57940)

Question 134995: Please help me solve this:

Click here to see answer by stanbon(57940)

Question 135059: express the following as a single logarithm:
1/4loga(x) – 3loga(y) – 2loga(z)
Note: the a's are subscripts
I am homeschooling my 9th grade son; this problem is on a test, and we are questioning the solution given.
Thanks, Beth.
Click here to see answer by solver91311(17059)

Question 135099: log(s+5) = log3x + log(x+1)
find the value of x
Click here to see answer by stanbon(57940)

Question 135079: Please help!! I have spent an hour trying to figure this one out.
e/\x=x/\2-1 that is e to the x equals x squared minus 1

Click here to see answer by vleith(2825)

Question 135077: Please help been stuck on this prob and can not solve. Express answer as decimal rounded to 3 decimal places. (1/4)x=5(1-x) x is exponent for 1/4 and 1-x is exponent for the 5. Please help!!!!
Click here to see answer by ankor@dixie-net.com(15745)

Question 135161: Solve: 4^(1-x)=3*5^x
I hope someone can help me, I have been trying to figure this one out for a while:( This is what I got : 4/3^x=3*5
4/3=(4*5)^x
x=log(4/3)/log20
x=0.096... But my teacher marked it wrong :(
Click here to see answer by stanbon(57940)

Question 135045: Expand the following
log (cuberoot(m^2))
thank you for your time.
Click here to see answer by ankor@dixie-net.com(15745)

Question 135264: Ok I think I have this problem finished just hoping you can check it for me, Thanks!
log 0.0001
I say the answer is -4
Click here to see answer by stanbon(57940)

Question 135307: A rodent population has moved into a new commercial development area in the city.The population initially had 16 animals and displayed an EXPONENTIAL rate of growth.After 486 weeks, the population numbered 8192 rodents. What is the doubling time of this rodent population? GROSS :)
Click here to see answer by vleith(2825)

Question 135326: This one is driving me crazy. Can someone please help.
Use properties of logarithms to condense the logarithmic expression. Write the expression as a
single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
1/6(log2x+log2y)-2^log2(x+9)
It is lined up strange on my homework and was hard to understand.
Thank you in advance
Click here to see answer by stanbon(57940)

Question 135327: x=log2(1+0.871x)
Click here to see answer by stanbon(57940)

Question 135430: Hi. I'm am required to find x in this equation: = . My teacher told me answer is +1 or -1. I do know the formula - Change of Base Law - to solve the equation, but the problem is, I do not know how to apply the formula due to the square root of 5 as the base of the equation.
I've tried by using the formula to change :
/ =
/1 =
5-4x = 2-x
-3x = -3
x = 1
However, I don't know how to find -1. Please teach me the correct method. Thanks.
(By the way, the answer is +1 with the + sign begin underlined. I hope you understand what I mean. And is this answer the same as 1 and -1? Thanks.)
Click here to see answer by Earlsdon(6294)

Question 135542: Express Logb r3s/t2 in terms of logarithms of r,s, and t. ( 3 and 2 are exponents and the / is not divide it is a fraction.
Click here to see answer by vleith(2825)

Question 135676: #36. log5(8-3x)=3
#48. log2(2x)+log2(x+2)=log2 16
#49. ln e^x-2 ln e = ln e^4
Click here to see answer by stanbon(57940)

Question 135673: Solve each logaithimis eqaution. Express all ccolutions in exact form.
#30. 3logx=2
#36. logs(8-3x)=3
#40. logx+logx^2=3

Click here to see answer by vleith(2825)

Question 135497:
Click here to see answer by ankor@dixie-net.com(15745)

Question 135505: please help me with this equation:
Click here to see answer by vleith(2825)

Question 135795: Not from a text book.
I am trying to understand how the definition of an exponential function impacts the definition and graph of y=logbx!
Thnaks for any suggestions...much appreciated!
Click here to see answer by stanbon(57940)

Question 136165: 1. Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. Write an exponential decay function for a 90-mg sample. Use the function to find the amount remaining after 6 days?
PLEASE HELP ME. (sorry for caps im not shouting it just I've been having trouble and no has been helping me)-thank you
Click here to see answer by jim_thompson5910(28696)

Question 136176: how would you solve a problem that says:
log base 3 (log x)= 1
Click here to see answer by Fombitz(13828)

Question 136174: 1.Phosphorus-32 is used to study a plant's use of fertilizer. It has a half life of 14.3 days. Write the exponential decay function for a 50-mg sample. Find the amount of phosphorous- 32 remaining after 84 days?
2. Iodine-131 is used to find leaks in water pipes. It has a half life of 8.14 days. Write the exponential decay function for a 200-mg sample. Find the amount of iodine-131 remaining after 72 days.
Thank you for helping me kind tutors
Click here to see answer by ankor@dixie-net.com(15745)

Question 136341: log base2 3x + log base2 3 = log base 2 (2x+15)
Click here to see answer by stanbon(57940)

Question 136367: Do you know compounding interest; Pe rt; find the "r" rate of interest
At what interest rate must $4800 be compounded annually to equal $9051.12 after 13 years, trying to find a formula like this in one of my 6 books, and I could find P, T, A but not "r",
raysecrets @hotmail.com, I have been working on this homework problem for 2 days now. Any help will be great.
Click here to see answer by checkley77(12569)

Question 136366: Do you know compounding interest; Pe rt; find the "r" rate of interest
At what interest rate must 4800 be compounded annually to equal 9051.12 after 13 years, trying to find a formula like this in one of my 6 books, and I could find P, T, A but not "r",
raysecrets @hotmail.com, I have been working on this homework problem for 2 days now. Any help will be great.
Click here to see answer by scott8148(6628)

Question 136498: Hi. I've been trying to solve this for about three hours. I know the solution is 11.0834645967, but I can't figure out how to get it within the constraints of the problem: Show how to solve the following equation in terns of the common logarithm. Also give an approximation of the solution to the nearest hundreth of a unit. 3^(2x-3)=5^(x+2)
My work is
log(3^2x-3)=log(5^x+2)
(2x-3)log3=(x+2)log5
2x-3=(x+2)log5/log3
(2x-3)/(x+2)=log5/log3
(2x-3)/(x+2)=logbase3 5
and then I get stuck. And I might have gone right past the correct route and gotten more tangled. Any help would be most appreciated.
Click here to see answer by Edwin McCravy(8999)

Question 136509: I need help with to simplify these: e^lnx^3 and e^ln x^16 thanks
Click here to see answer by stanbon(57940)

Question 136595: log base 2 (x-3) = log base 2 (x-2)
Click here to see answer by solver91311(17059)

Question 136596: How do I solver log2 4 - log2 16
Thats Log Base 2 of 4 minus log base 2 of 16
Click here to see answer by solver91311(17059)

Question 136795: 7 = 2^(2x)
In this problem where 7 equals 2 raised to 2x, do both 2's cancel each other making the answer 7=X (??????) thanks for your help
Click here to see answer by stanbon(57940)

Question 137064: ln (x + 6) - ln 10 = ln(x-1) - ln 2
Can you please show me the steps on how to solve this problem along with one like...
log 3x - 2[logx - log(2+y)]
Click here to see answer by stanbon(57940)

Question 137104: I need help with using the elimination method to solve
5/x + 2/y = 0 6/x + 4/y = 3
I know you have to do something with U's and V's but i'm totally lost
Click here to see answer by checkley77(12569)

Question 137147: 1/2 log base 8 (x+5) - 3 log base 8 y
this is what i have so far
=log base 8(x+5)^1/2-log base 8 y^3
=log base 8 x^1/2 + 5^1/2-log base 8 y^3
now I'm stumped. If some one could help I would greatly appreciate it.
THanks so much.
Click here to see answer by stanbon(57940)

Question 137134: I've tried and tried and can't solve 2 log x-2 = log(x-25) I'm confused to what the appropriate steps are.
Click here to see answer by Earlsdon(6294)

Question 137142: How can I solve 2/3[ln(x^2-9)-ln(x+3)]+ln(x+y). This is a hard equation for me. Please help!
Click here to see answer by stanbon(57940)

Question 137439: write as a single logarithm
2loga (5x^3)- loga (2x+3)
Click here to see answer by stanbon(57940)

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