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 695928: Solve : (w+1)^3/2 = 64
I know the answer is 15 but I don't know how to get to that answer. Could you please solve this step by step for me?
Click here to see answer by mouk(232)

Question 695850: Let E(x) = 30(1.05)^x and L(x) = 30 + 2x.

I need to give an example of a value x when L(x) < E(x). Can someone please help? I am really struggling with this one. I have the rest of the problem figured out.
Click here to see answer by KMST(5328)

Question 696106: write as an expression with positive exponents in simplest form:
(x^-1)(y^4) / (3x^-5)(y^-1)
Click here to see answer by stanbon(75887)

Question 695803: A contry's population doubled in 45 yrs. What was the exponential growth rate?
Click here to see answer by stanbon(75887)

Question 695176: what is the exponential function y= ab^x whose graph passes through the given points ?

Click here to see answer by stanbon(75887)

Question 694141: 8-log^2 64 =? do you put the 8 as the exponent of 64 then divide the who thing by negative one to get rid of the negative in front of the log or should I subtract after
Click here to see answer by stanbon(75887)

Question 694065: Half life of a radioactive substance is 33.6 years
a)find rate of decay
b) how much of the sample of 400 grams will remain after 20 years?
c)how long will it take a sample of 400 grams to decay to 300?
Click here to see answer by stanbon(75887)

Question 696399: x2+4x+2=0 c.s
Click here to see answer by KMST(5328)

Question 696506: Perform the indicated operations. Write the resulting polynomial in standard form (2x^2 + 4x + 7) + (2x^2 + 6x -7) - (5x + 2)
Click here to see answer by checkley79(3341)

Question 696959: Solve log(base6) (x^2+7)=log(base6)(1-5x)
Click here to see answer by lwsshak3(11628)

Question 696959: Solve log(base6) (x^2+7)=log(base6)(1-5x)
Click here to see answer by MathLover1(20850)

Question 696956: What is the value 3+log(base)2 (x) = log(base 2) (x-1)
Click here to see answer by lwsshak3(11628)

Question 697127: Here is the question.
�500 is deposited into an account which earns compound interest at 5% per annum.
A) calculate the cumulative sgum after 8 years in the following cases
1) the interest is credited continuosly
I know that the formula is, S=Pe ^it but I dont know how you type the 'e' into the calculator 500e ^0.05x8.
So my question is how to you show the 'e' in a scientific calculator, I am currently using casino fx-85GT
I hope you can help.
thanks
Click here to see answer by nerdybill(7384)

Question 697237: What is the value of x in log base x (log base 2(log base 2(log base x 9) = 0?
I need ur answer, thank you...
Click here to see answer by josmiceli(19441)

Question 697288: simplify: (x^4 y^-3)^-2 over xy
Click here to see answer by MathLover1(20850)

Question 697289: if f(x)= x^(2/3) and g(x)= 8x^0, find (f o g)(27)
Click here to see answer by lwsshak3(11628)

Question 697431: write the expression using an exponent for (k-15) + (k-15) + (k-15) + (k-15) + (k-15)
Click here to see answer by mananth(16946)

Question 698064: How do you divide a square cm by a cm?
Problem: Divide 300cm2 by 0.0005cm and express the answer in scientific notation. Remember to follow significant figure rules.
Thank you for helping!
Click here to see answer by Alan3354(69443)

Question 698378: Can someone please help me with this? I am a little lost and cannot figure this out. Any help is greatly appreciated.
Let A = {1, 2, 3, . . . , 10}, and B = {1, 2, 3, . . . , 7}. How many functions f : A→B satisfy |f (A)| = 4? How many have |f (A)| ≤ 4?
Click here to see answer by vleith(2983)

Question 698455: Solve: -11 + 15 log 6x = 45
How to solve?
Click here to see answer by lwsshak3(11628)

Question 698455: Solve: -11 + 15 log 6x = 45
How to solve?
Click here to see answer by josmiceli(19441)

Question 698396: What is the answer to (2x^0y-3)-3 divided by y^2 times y?
Click here to see answer by lynnlo(4176)

Question 697747: -5126= -6 -5(3x+22)^5/3
Click here to see answer by KMST(5328)

Question 699224: what is the answer and way to work this out?
log(base 3)81=x^2
Click here to see answer by stanbon(75887)

Question 699446: Write a power function y=ab^x that passes through (3,2) and (6,9)
Click here to see answer by stanbon(75887)

Question 699729: Please help me solve this equation: n^(1/4)
Click here to see answer by unlockmath(1688)

Question 700114: Round to the nearest hundredth.
2^(8x) = 93
Click here to see answer by Edwin McCravy(20059)

Question 700443: Kindly please assist.
Solve 2^x=5^x^2 for x
a)0.431
b)2.322
c)0 and 0.431
d)0 and 2.322
Click here to see answer by stanbon(75887)

Question 700446: Kindly assist please.
How many roots does x^6=3x^5+1 have?
a)11
b)5
c)1
d)6
Click here to see answer by mouk(232)

Question 700444: Kindly please assist.
What is the lowest-degree polynomial with integer coefficients and the roots 6,i,and -i?
a)x^3+6x^2+x+6
b)x^3-6x^2+x-6
c)x^3+6x^2-x-6
d)x^3-6x^2-x+6
Click here to see answer by mouk(232)

Question 700504: What does x equal if 9^x=14
Another problem....
What does x equal if 8^x=2^x+8
Click here to see answer by Alan3354(69443)

Question 700483: The pH of a liquid is a measure of how acidic or basic it is. The concentration of hydrogen ions in a liquid is labeled [H+]. Use the formula pH = �log[H+] to find the pH level, to the nearest tenth, of a liquid with [H+] about 5.4 x 10�14.
Click here to see answer by josmiceli(19441)

Question 700587: What does x equal if 9^2x+1=27^x

And...

What does x equal if log x+log 5=2
Click here to see answer by stanbon(75887)

Question 700923: The half-life of a certain radioactive material is 68 hours. An initial amount of the material has a mass of 641 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 4 hours. Round your answer to the nearest thousandth.
Click here to see answer by nerdybill(7384)

Question 701745: What is e^-1 = 1 over e in logarithmic form?
Click here to see answer by Alan3354(69443)

Question 702045: solve for x in y=3^2x-1
Click here to see answer by stanbon(75887)

Question 702045: solve for x in y=3^2x-1
Click here to see answer by solver91311(24713)

Question 702020: The bacteria in a certain culture double every 7.1 hours. The culture has 6,500 bacteria at the start.
How many bacteria will the culture contain after 4 hours?
Click here to see answer by ankor@dixie-net.com(22740)

Question 702101: solve for x in y=16^5x-4
Click here to see answer by solver91311(24713)

Question 702113: Find x in p(x)=7^-x-343.
Click here to see answer by Alan3354(69443)

Question 702147: I don't understand how to do radicals with numbers, like 8 square rooted by 3 is 2. My problem is to simplify this: sqrt (81x^2) with the little radical number being 3. if that makes sense.
Click here to see answer by KMST(5328)

Question 703564: Log base 2 (8x) - log base 2 (x squared minus 1) = log base 2 3
Click here to see answer by nerdybill(7384)

Question 703564: Log base 2 (8x) - log base 2 (x squared minus 1) = log base 2 3
Click here to see answer by josmiceli(19441)

Question 703658: log5(3x+10) - 3log54=2
the five are supposed to be smaller
Click here to see answer by mouk(232)

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