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 821874: Solve the equation:
e^x - 12e^-x - 1 = 0
Click here to see answer by ewatrrr(24785)

Question 821885: solve for X:
ln(x-(1/2)) + ln2 = 2lnx
Click here to see answer by ewatrrr(24785)

Question 821880: solve the equation:
x^2 e^x + xe^x - e^x = 0
Click here to see answer by Alan3354(69443)

Question 821963: (7x^2/7)-3=25. solve for x
Click here to see answer by TimothyLamb(4379)

Question 821895: solve for x:
log 2 (log 3 x) = 4 -----> log of (log of x base 3) base 2 equals 4

Click here to see answer by jsmallt9(3758)

Question 822027: log3 15 − log3 40 + log3 648
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Question 822150: (y^8)^5

Click here to see answer by ewatrrr(24785)

Question 822150: (y^8)^5

Click here to see answer by LinnW(1048)

Question 822213: 10log28 - log4
Click here to see answer by LinnW(1048)

Question 822641: logu 15/16=v
has to be put in exponential form.
Click here to see answer by ewatrrr(24785)

Question 822641: logu 15/16=v
has to be put in exponential form.
Click here to see answer by josmiceli(19441)

Question 823406: The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100 000. If there are currently 76 000 people living in the town, how long do they have before the new school will be needed?
I can't remember what equation to sub it into, but the textbook answer is 4.6 years.
Click here to see answer by stanbon(75887)

Question 823256: (-24x^4*y^-6)/(14x^-3*y-3)
Click here to see answer by jsmallt9(3758)

Question 822967: x^2e^x = 2xe^x, find its solution set

Click here to see answer by tommyt3rd(5050)

Question 824304: e^2x-5(e^x)+6=0 if you have a similar question with a coefficient greater than 1 it would be great if I had some help on it cause today is my final exam, and thankyou.

Click here to see answer by Alan3354(69443)

Question 822986: write an equation of the circle with the given center and radius (6,1);9
Click here to see answer by tommyt3rd(5050)

Question 824792: [ A mosquito population doubles every 7 days if there were 5 mosquitoes initially, after how many days will the population contain 80 mosquitoes? ]
Thanks so much in advance:)
Click here to see answer by TimothyLamb(4379)

Question 824782: Determine the zeroes
a) y= 2(3)^(-x+2) - 18
Thanks so much in advance:)
Click here to see answer by KMST(5328)

Question 824791: The growth of a herd of bison follows the rule p(t) = p(base 0)(2^ (t/10)) where p(base 0) represents the initial population and p(t) represents the population after x years . In how many years will the bison population quadruple it's initial population?
Thanks so much in advance:)
Click here to see answer by josgarithmetic(39620)

Question 824790: Solve the exponential equation
a)(2^x)^2 = 16(2)^x
Thanks so much in advance:)
Click here to see answer by ankor@dixie-net.com(22740)

Question 824793: If (e^x + e^-x ) / (2) = 1 then find e^x
Thanks so much in advance:)
Click here to see answer by ankor@dixie-net.com(22740)

Question 824789: Solve the exponential equation
a)(2^x)(2^x)=64
Thanks so much in advance:)
Click here to see answer by tommyt3rd(5050)

Question 824924: I am doing a LOG graph and have found the one point and the vertical asymptote but need to find the x-intercept.
The problem is...
f(x)= log(x-1)-2
I have the vertical shift at down 2 and the horizontal shift at right one. The vertical asymptote is 1 and the point is (2,-2)
Click here to see answer by KMST(5328)

Question 825014: Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year since then. Predict what the population of the town will be in 10 more years.
Click here to see answer by Narendra Boyanapalli(1)

Question 825478: change each exponetial form to an equivalent logarithmic form
32=2^5
1/125=25^-3/2
12=144^1/2
Click here to see answer by jsmallt9(3758)

Question 826073: log10x=-8 what is the value of x
Click here to see answer by KMST(5328)

Question 808578: Solve for x
5. 6^x+2=18
Click here to see answer by tommyt3rd(5050)

Question 808578: Solve for x
5. 6^x+2=18
Click here to see answer by MathTherapy(10552)

Question 808577: Solve for x
4. 4^3x=12
Click here to see answer by tommyt3rd(5050)

Question 813924: . Evaluate 1 + x + x2/2! + x3/3! +
x4/4! + .......

Click here to see answer by tommyt3rd(5050)

Question 808574: Solve for x
2. Log(4x+10)=3

Click here to see answer by tommyt3rd(5050)

Question 826152: =2
Here is my guess on how to do it you take the question and change it to =5x which turns to 25=5x then divide by 5 which makes the answer 5. however I was unsure because I remember something in class about canceling out the log base 5. Thanks a bunch!

Click here to see answer by josgarithmetic(39620)

Question 824788: Solve the exponential equation
a)(1/2)^x = 16
Thanks so much in advance:)
Click here to see answer by lwsshak3(11628)

Question 808573: Solve for x
1. Log5x-3=2

Click here to see answer by tommyt3rd(5050)

Question 808576: Solve for x
3. 15^(2x)=36

Click here to see answer by tommyt3rd(5050)

Question 826558: How do you find the value of x in 2^x = 1/16?
Click here to see answer by rothauserc(4718)

Question 826923: Some investments in the stock market have earned 10% annually. The total value of the investment, A, at this rate can be found using A=P(1.10)^n, where P is the initial value of the investment and n is the number of years the money is invested. If $1000 is invested in the stock market at this annual rate of return, what is the expected total value after 18 years?
A.4,054.47
b.5,559.92
c.18,700.00
d.19,800.00
Click here to see answer by stanbon(75887)

Question 827031: The function is one to one. Find its inverse and check your answer.
Thank you in advance
Click here to see answer by ankor@dixie-net.com(22740)

Question 827067: Simplify the expression y^5 √7 / y^ √7
Click here to see answer by stanbon(75887)

Question 807829: Please help me solve this problem: Translate the given exponential statement into an equivalent logarithmic statement.
10^(6K) = 5Q
6K= ??
Click here to see answer by tommyt3rd(5050)

Question 809949: I am working on exponential functions in a real world situation
I have the numbers in as
40e^-0.2(h)=
40e^-0.2(7)=9.863...
how in the world? Every combination I try ..not even close...

Click here to see answer by tommyt3rd(5050)

Question 809823: how do you solve ^4 square root10 / ^4 square root 27
thank you

Click here to see answer by tommyt3rd(5050)

Question 810401: I have problems with these types of problems 3(10000)^n -27 = 299973.
Click here to see answer by tommyt3rd(5050)

Question 810522: Solve for x:

frac(9)(4) log_(5) x = -10
This one has been giving me problems!!!

Click here to see answer by tommyt3rd(5050)

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