Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 294000: Part 1:Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , (H = p*a^t) where p is the number of new homes built in the first year recorded, and t is the number of years
Part2:Step 2 is to choose a value for �a�; this is the growth factor � you can choose �a� to be any number between 0 and 1 �OR� choose �a� to be any number greater than 1. Do not choose 0 or 1, as these are trivial cases.
1) Insert the chosen values for �p� and �a� into the formula listed above.
2) Use the formula to find the number of homes built, H, at any three values of time, t, in years that you want. Show your calculations and put units on your final answer!

Click here to see answer by stanbon(75887)

Question 294210: logx + log(x-3)=1
Click here to see answer by nyc_function(2741)

Question 294292: solve log3x=log4+log(x-3)
Click here to see answer by nerdybill(7384)

Question 294612: 42x=9x+1 this is a logarithm problem
Click here to see answer by helpnalgebra(91)

Question 294649: 3lnx - 2lnc
Click here to see answer by stanbon(75887)

Question 294657: solve lnx - ln6=0
Click here to see answer by stanbon(75887)

Question 294670: Hello Can someone please help me
Click here to see answer by richwmiller(17219)

Question 294870: Hi, I need help with the following please. Any assistance would be really appreciated!
Solve:
log5(-2x)
--------------- = 2
log5(x+1)
Click here to see answer by Alan3354(69443)

Question 294874: I need help with the following exponential please.
Solve: 7^-x-3* 7^1+x -4=0
Please note that -4 is not part of 7^1+x
Thank you very much. I have a test in the morning and I really want to make sure I have these questions right.

Click here to see answer by Fombitz(32388)

Question 294987: what is the answer to log9 144, where log9 7=0.8856, and log9 4=0.6309?
Click here to see answer by Alan3354(69443)

Question 294981: Hi. I'm having trouble tryig to type in equaion form so I did the best I could here...
(7^-x) -3 * (7^1+x) -4 = 0
I hope somebody understands because I really need help I have a test in the morning!
Thanks in advance
Click here to see answer by Alan3354(69443)

Question 295231: Rewrite the expression as a single logarithm ln4 + 2ln x + 7ln (x^2+6) Thank you. Cindy
Click here to see answer by nerdybill(7384)

Question 295541: 1.Explain how to solve exponential equation such as e^x=3
2. Explain how to solve exponential equation such as 3^x=1
3. Explain how to solve a logarithmic equation such as logx=1
4. Explain how to solve a logarithmic equation such as Lnx=1

Click here to see answer by stanbon(75887)

Question 295511: Solving Exponential Equations Using Logarithms?
2^x = 30
5^x - 1 = 3^x
3.53^(x+1) = 65.4
16^(x - 4) = 3^(3 - x)
7^(x - 2) = 5^x
Click here to see answer by edjones(8007)

Question 295505: can you solve for x
3^2x+18=5
and can you expand
log3 (5x^4/ 2y)
Click here to see answer by edjones(8007)

Question 295614: Power Functions and Power Operations
"You have a coupon for $100 off the price of a sofa. When you arrive at the store, you find that the sofas are on sale for 25% off. Let x represent the original price of the sofa.
Use function notation to describe your cost, f(x), using only the coupon. Next, use function notation to describe your cost g(x) using only the 25% discount."
Click here to see answer by palanisamy(496)

Question 295582: what is the the answer to log base of 35 to the power of x?
Click here to see answer by Alan3354(69443)

Question 295759: help me solve this problem 2/3=2-5x-3/x-1=
Click here to see answer by richwmiller(17219)

Question 296096: rewrite each expression in radical form
3 1/4
Click here to see answer by Alan3354(69443)

Question 296095: rewrite each expression in exponential form
1.squareroot of 14
2.squareroot of 7
Click here to see answer by Alan3354(69443)

Question 296288: Long�s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long�s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.
Click here to see answer by richwmiller(17219)

Question 296583: find the largest open interval at which function is concave up or concave down and find the location of any points of inflection.
f(x)= x^4+8x^3-30x^2+24x-3
Please help with steps
Click here to see answer by stanbon(75887)

Question 296747: log(90x+40)-logx=2

Click here to see answer by Fombitz(32388)

Question 297032: what is log x=3.2
Click here to see answer by Edwin McCravy(20059)

Question 297158: If f( x) = x^2 + 1 and g(x) = x-2 find [f degree g](x)
Click here to see answer by nyc_function(2741)

Question 297344: simplify: 5^log5 x
five to the 5th log of x
thanks!
Click here to see answer by jim_thompson5910(35256)

Question 297355: .1=.159+.118log x
i know x=.316 but i don't know how they got that. could you explain?
thanks for the help!
Click here to see answer by jim_thompson5910(35256)

Question 298119: The half-life of a substance is the time it takes for half of the substance to remain after natural decay. Radioactive water (tritium) has a half-life of 12.6 years. How long will it take for 85% of a sample to decay?
Click here to see answer by ankor@dixie-net.com(22740)

Question 298209: Is -7X10^11 in scientific notation? If not, please put in scientific notation.
Click here to see answer by Alan3354(69443)

Question 298210: Is -7X10^11 in scientific notation? If not, please put in scientific notation.
Click here to see answer by Alan3354(69443)

Question 298211: Is -7X10^11 in scientific notation? If not, please put in scientific notation.
Click here to see answer by Fombitz(32388)

Question 298650: If y varies inversely as x, and k = -24, what is y when x = 6?
a. -36
b. -4
c. -13
d. -14
Would the answer be b. -4 ?
Click here to see answer by richwmiller(17219)

Question 298940: how do i express log3 54 using base 10 logarithms
Click here to see answer by nerdybill(7384)

Question 298945: 3^x^3=9^x
solve for x
this is what i have so far i don't know if it is right
3(x^3)=(3^2)(x)
Click here to see answer by Stitch(470)

Question 298975: how to slove
2 raise to the power 100
Click here to see answer by Alan3354(69443)

Question 299176: 4log4 2=log4 2^4 which was my answer but how do i evaluate this?
Click here to see answer by nerdybill(7384)

Question 299577: e^x*(6e^3x-1)
Click here to see answer by helpnalgebra(91)

Question 299779: Rewrite each of the following as an equivalent exponential
equation.Do not solve. loge 0.989 = -0.0111
Click here to see answer by stanbon(75887)

Question 299779: Rewrite each of the following as an equivalent exponential
equation.Do not solve. loge 0.989 = -0.0111
Click here to see answer by Alan3354(69443)

Question 299875: 3^n-2=27

Click here to see answer by Fombitz(32388)

Question 300015: how do you turn 4 into 1/16 using an exponent with the 4
Click here to see answer by Edwin McCravy(20059)

Question 300591: f(x)=2^3log_2(8x+3)
express this function without logarithms
Click here to see answer by dabanfield(803)

Question 300696: Suppose f(x)=3x-6, g(x)=x^2 + square root of x, and h(x) = x/3 + 2
What is: f(g(4))
Click here to see answer by Fombitz(32388)

Question 301108: Log base 2 to the power of 80
Click here to see answer by Alan3354(69443)

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