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 417665: evaluate the expression e 1/4
Click here to see answer by jsmallt9(3758)

Question 417664: 2^(x) = 3^(x-1)
Click here to see answer by jsmallt9(3758)

Question 417877: Can you please help me solve the following problem?
2^(4x+15)=5^(6-10x)
so far, I've done: log2(2^4x+15)=log2(5^6-10x)
4x+15=log2(5^6-10x)
but I do not know if this is the right way to procede with these problems.
Click here to see answer by stanbon(75887)

Question 417922: (w-3)/(w-9)-(w+1)/(w+9)+(w-117)/(w^2-81)
Click here to see answer by mananth(16946)

Question 417918: Please help me find all solutions (in non decimal form) of the equation:
e^2x-8e^x+39/4=0
so far I have done:
4 (e^2x-8e^x+39/4)=0(4)
4e^2x-32e^x+39=0
I do not know how to procede onwards as a if solving for a quadratic equation because of 39
Click here to see answer by jsmallt9(3758)

Question 418199: How do i graph natural base functions.
for example: y=e to the -x
Click here to see answer by ewatrrr(24785)

Question 418332: what is y to the power of 3 multiplied by y to the power of 2?
i think the answer is y to the power of 5 but i want to make sure

Click here to see answer by rfer(16322)

Question 418333: log x - log (x/100) = x
Click here to see answer by richard1234(7193)

Question 418382: hey can you help me with
or

Click here to see answer by sudhanshu_kmr(1152)

Question 418423: having difficulty solving the following equation. can you help?
10^x+3 = 6^2x

Click here to see answer by ankor@dixie-net.com(22740)

Question 418423: having difficulty solving the following equation. can you help?
10^x+3 = 6^2x

Click here to see answer by solver91311(24713)

Question 418449: What is the derivative of e^(x+1)-1?
Click here to see answer by robertb(5830)

Question 418401: would you please help me solve this equation: 36^x-5=(1/6)^11-x
Click here to see answer by robertb(5830)

Question 418491: Can you solve this thank you very much!
Click here to see answer by dnanos(83)

Question 418493: Can you solve this thank you very much!
Click here to see answer by lwsshak3(11628)

Question 418638:
Click here to see answer by jsmallt9(3758)

Question 418722: not sure how to solve this can somebody help. I would really appreciate it
thanks,
Find the exponential function f(x)=a^x whose graph goes through the point ( 3,1/8 )
Click here to see answer by sudhanshu_kmr(1152)

Question 418727: can some one please help me evaluate logarithms i am having a tough time please show work so i can try to understand how to do them on my own thanks,
Evaluate the expression.
a. log4 1/16

b. log8 sqrt8

c. log5 0.04
Click here to see answer by nerdybill(7384)

Question 418765: Find the amount that results from each investment.
$40 invested at 7% compounded continuously after a period of 3 years.
Click here to see answer by Alan3354(69443)

Question 418765: Find the amount that results from each investment.
$40 invested at 7% compounded continuously after a period of 3 years.
Click here to see answer by ewatrrr(24785)

Question 418769: Find the principal needed now to get each amount; that is, find the present value.
To get $800 after 2.5 years at 8% compounded continuously.
Click here to see answer by Alan3354(69443)

Question 418770: What rate of interest compounded annually is required to double an investment in 6 years?
Click here to see answer by Alan3354(69443)

Question 418772: What rate of interest compounded annually is required to triple an investment in 10 years?
Click here to see answer by Alan3354(69443)

Question 418772: What rate of interest compounded annually is required to triple an investment in 10 years?
Click here to see answer by ewatrrr(24785)

Question 418900: simplify the fourth root of 2/3
Click here to see answer by jsmallt9(3758)

Question 418868: Find an equation of the tangent line at the point indicated.
f (x) = log6 (5x + x^-5), x = 1
Click here to see answer by jsmallt9(3758)

Question 418929: Evaluate the expression
3^log3^8
Click here to see answer by jsmallt9(3758)

Question 419425: how would i slove this problem
mn (m+n)
Click here to see answer by rfer(16322)

Question 419613: x^9=568
I can't get this down. How do you solve for x? I can use a calculator on my assignment, but not sure what "button" will help me..
THanks
Click here to see answer by stanbon(75887)

Question 419876: Please help me solve
Click here to see answer by nerdybill(7384)

Question 419876: Please help me solve
Click here to see answer by josmiceli(19441)

Question 420064: Solve the equation by expressing each side as a power of the same base and then simply exponents. Please help me solve this equation : 4^(3x+5)=1/256.
Click here to see answer by sudhanshu_kmr(1152)

Question 419969: How do you graph the exponental function of y=6(1/2)^(-3) -5
Please note that the -5 is not in the exponent.
Thanks
Click here to see answer by jsmallt9(3758)

Question 419628: formula of exponential (-1, 1/15) and (2, 9/5)? if f(x)=ab^2 i got a = sqrt(1.2) and b i got (9/5)/(sqrt(1.2)) i need help?
Click here to see answer by jsmallt9(3758)

Question 419625: formula of exponential if f(3)= -3/8 and f(-2) = -12
Click here to see answer by jsmallt9(3758)

Question 419538: I have a test this Thursday and I dont understand this review question at all. Can someone please explain to me in detail, step by step, what I should do to solve it? It would really help me alot.
a)Let f(x) and g(x) be real-valued functions of a real variable with domain all large x. Define f(x)=O(g(x)).
b)f(n)= ((3n^5)+2n+20)/sqrt((n^2)+1)

Click here to see answer by jsmallt9(3758)

Question 420664: If Marcelle deposits $250,000 into a mutual fund which pay an annual interest rate of 5% compounded continuously. Assuming that there are no further deposits and there were no withdrawals, how long must she wait before her investment reaches $1 million?
Click here to see answer by stanbon(75887)

Question 420792: 8^(x+5)=4^(x)
solve to find x
Click here to see answer by richard1234(7193)

Question 420931: 4^x*4^-7x=64
Click here to see answer by Gogonati(855)

Question 420883: Simplify (-3xy^2)^2
Click here to see answer by rfadrogane(214)

Question 420884: Rewrite the expression using positive exponents 2x/ y^-2.
I did 2x*1/y^-2 but I can't figure out whats next.
Click here to see answer by jsmallt9(3758)

Question 421188: Rewrite the expression (-5y)^-3 using positive exponents.

Click here to see answer by sudhanshu_kmr(1152)

Question 421669: To determine the number of deer in a game preserve, a conservationist catches 566 deer, tags them and lets them loose. Later, 486 deer are caught; 162 of them are tagged. How many deer are in the preserve?
Click here to see answer by shree840(260)

Question 421667: Subtract. Simplify if possible
8/(v-5)-8/(5-v)
Click here to see answer by Edwin McCravy(20059)

Question 421723: I need help solving this problem: log(4x+10)=3
Any help you could give is greatly appreciated.
Click here to see answer by Alan3354(69443)

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