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 64067: please help me solve htis problem
Click here to see answer by stanbon(57348)

Question 63854: determine the richter scale measure to the nearest 0.01 of an earthquake that had an intensity of I = 101,620,000 I base 0
Click here to see answer by 303795(595)

Question 64219: Please help solve this equation.
4(10^3(X))/4
I know right off to remove the 4s leaving 10^3(X). Without this equation equalling another number, I don't know what to do next. Any help you can provide will be greatly appreciated.
Click here to see answer by stanbon(57348)

Question 64217: SOLVE THE EQUATION 4^(2x+1) = 2^(3x+6).
Click here to see answer by stanbon(57348)

Question 64217: SOLVE THE EQUATION 4^(2x+1) = 2^(3x+6).
Click here to see answer by Edwin McCravy(8909)

Question 64308: Hello I am struggling with this question in my college course work any help would be appreciated...
(e^x)^4 e^5
____________= 3
e^2x
Click here to see answer by funmath(2925)

Question 64331: 2^x=50
This is my problem... I know that it is an exponential equation, but how would you solve the problem I need so much help I feel so stupid when it comes to math could you please help me thank you.
Click here to see answer by funmath(2925)

Question 64334: i didnt know where to ask this question it is for college algebra: solve the system {3x -y+2z=15
x+2y+3z=5
-2x+y-3z=-16
Click here to see answer by stanbon(57348)

Question 64567: I know the answer is no solution but i need to know how to work this problem please help
6+log(2,(2x-4))=7+log(2,(3x))
Click here to see answer by stanbon(57348)

Question 64636: The calculator says log 7=0.84509804. Is this a reasonable valu? why or why not?
Click here to see answer by 303795(595)

Question 64900: Having a difficult time solving the following problem (3rs)^5
thanks
Click here to see answer by checkley71(8403)

Question 64964: PLEASE HELP:
SOLVE 8^6x = 1/64
Click here to see answer by josmiceli(9680)

Question 64968:
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Question 65026: Having difficulty with two problems:
2^(x+3)=5^x
and
10e^(3x-7)=5
For 2^(x+3)=5^x I converted it into a log with base of 2
log(base2) (2^(x+3)) = log(base2) 5^x
x+3=log(base2) 5^x
x=log(base2) (5^x) - 3
and get stuck there.. am I even on the right track? As for the 2nd one, I've made no progress at all.

Click here to see answer by stanbon(57348)

Question 65156: Hello,
How do i solve this equation:
2^x = 64
thank you.
Click here to see answer by funmath(2925)

Question 65473: Stereo System. You purchase a stereo system for $830. After a 3-month trial period, the value of the stereo system decreases 13% each year.
a. Write an exponential decay model for the value of the stereo system in terms of the number of years since the purchase.
b. What was the value of the system after 1 year?
I thought it was 830(.87)^x... but how do I put in the model the part about it only starts decreasing AFTER 3 months???
Thanks very much,
E
Click here to see answer by josmiceli(9680)

Question 65308: How do you Solve this Equation LNe^x2=16?
Find the Inverse of y=4x/x-2 and Check?
Click here to see answer by Nate(3500)

Question 64633: Captain Jeff Banker, in Altus, Oklahoma, finished flight training on the C-17, an Air Force cargo plane, and the plane weighs 585,000 pounds. At altus the base has three runways where runway A is 3500 ft. long, Runway B is 13,500 ft long and runway C is 15000 ft. long. on which runways could captain banker takeoff in the c-17 if the minimum runway length(in thousans of feet) is given by the function L(x)=3 log x, where x is the weight of the plane in the thousands of pound? Justify answer.
Click here to see answer by Earlsdon(6287)

Question 64634: A volcano that is currently about one-half mile below the surface of the pacific ocean near the big island of Hawaii will eventually become a new Hawaiian island, Loihi. The volcan will break the surface of the ocean in about 50000 years. On average, how many inches does the volcano rise in a year. State your answer in per year.
Click here to see answer by checkley71(8403)

Question 64350: solve the homogeneous system: {2x+y+z=0
4x-5y+z=0
3x-2y+z=0
Click here to see answer by venugopalramana(3286)

Question 63300: solve algebraically:
Click here to see answer by ntnk(54)

Question 64576: the answer is (4e^(2/3))/3e but i need work please help
ln4x-ln3-2lnx=(1/3)
Click here to see answer by venugopalramana(3286)

Question 64571: Please show me how to work this problem i know the answer is (4e^(2/3))/3e

Click here to see answer by venugopalramana(3286)

Question 64635: Explain why an even function f does not have an inverse f-1 (f exponeant -1)

Click here to see answer by venugopalramana(3286)

Question 64591: A radioactive material decays according to the law: f(t)=500e^-0.47t where f(0) is the initial amount present in grams and f(t) is the amount present at time t (hours). Determine how many hours it will take for the material to decay to 100 grams using either graphic or algebraic methods.
Click here to see answer by ankor@dixie-net.com(15652)

Question 64590: Solve the following equation for x.
185.45=32.1e^1.23x
Click here to see answer by ankor@dixie-net.com(15652)

Question 65918: solve for x: 2^(x+2) + 2^x =160
im not sure what to do, can someone help me??
Click here to see answer by uma(370)

Question 65919: solve for x: 4=ln√(x-2) +2
i can get 2=ln√(x-2) but im not sure what to do after that. Please help thank you in advance. :) <3

Click here to see answer by Earlsdon(6287)

Question 66208: evaluate

e^2ln3

(2^3*2^-5)/2^-7

log4 64

log4 32

log2 4th root(1/8)

log 25 +log 4
Click here to see answer by stanbon(57348)

Question 66293: Can someone think of an exponential function like compounding interest that we encounter in our work or in our personal life?
Click here to see answer by stanbon(57348)

Question 66345:
Expand (1-3x)e^3x as far as the term x^4 using a power series for e^x.
I`m stumped, I can work it out whe n figures are involved, but add x`s y`s etc, clueless!! Thanks
Click here to see answer by venugopalramana(3286)

Question 66410: How do you find the inverse of an equation?
y=6-2x
Click here to see answer by Earlsdon(6287)

Question 66738: 5 2/3 * 5 4/3
Click here to see answer by stanbon(57348)

Question 63303: solve algebraically: log5+log(4-2x)=log(x-1)
Click here to see answer by rapaljer(4667)

Question 66409: How do you find an inverse of an equation?
y=6-2x
Click here to see answer by rapaljer(4667)

Question 66817: 8. If the angles X and Y each measure between 0° and
90°, and if sin X = cos Y, what is the sum of the
measures of the angles X and Y ?
Click here to see answer by stanbon(57348)

Question 66825: Over all real numbers x, what is the maximum value
of 4 sin 3x ?
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Question 67100: What are the steps needed to simplify this equation?
square root of 49x^2z^6
(^ is raised to; to the power of)
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Question 67133: how do you figure out this problem
Click here to see answer by Edwin McCravy(8909)

Question 67161: what is (are) the solution(s) of the equation log sub 4 4x+2 log sub4(x+3)=2
Click here to see answer by Edwin McCravy(8909)

Question 67161: what is (are) the solution(s) of the equation log sub 4 4x+2 log sub4(x+3)=2
Click here to see answer by stanbon(57348)

Question 67199: help me solve ln(x^2 + 12)=ln x + ln 8
Click here to see answer by bam878s(77)

Question 67199: help me solve ln(x^2 + 12)=ln x + ln 8
Click here to see answer by funmath(2925)

Question 67654: Evaluate f(x) = 2x, where f(-3)
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Question 67909: 3log2 x=1+log2 32
Click here to see answer by stanbon(57348)

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