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 986012: Please solve the following equation:
〖4e〗^(x+3)=3602
Click here to see answer by Alan3354(69443)

Question 985965: One algorithm has a running time of p(n)=n^3+3n+1 and algorithm two has running time of q(n)=15^2+5n+4 (measured in nanoseconds, or 10^-9 seconds).
A. compute the running time for both algorithms for images of size 10 by 10 pixels and 100 by 100 pixels.
I would assume that you would substitute 10^-9 into both equations and from there I am unsure.
Click here to see answer by solver91311(24713)

Question 986265: x^2 ln(x -1) = 3
Click here to see answer by Alan3354(69443)

Question 986345: solve for x when e^2x=1/64
Click here to see answer by Alan3354(69443)

Question 986350: simplify the expression.
f(x) = 7^6(log7e)lnx
Click here to see answer by Alan3354(69443)

Question 986351: Use properties of logs to simplify the expression.
log4(x-sqrtx^2-28)+log4(x+sqrtx^2-28)
Click here to see answer by solver91311(24713)

Question 986349: Use properties of logs to simplify the expression as much as possible
loga(16)+ 3/5loga(16)− 3/5loga(8)+loga(1/2^13/5)

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Question 986347: If a, b are the solutions of the equation, find the value of a+b
3^ex + 8^e−x = 10
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Question 986384: Solve for x:
(8+x)^-5=64
Click here to see answer by Boreal(15235)

Question 986773: Express y as a function of x:
lny=5ln(2x)
Click here to see answer by josgarithmetic(39620)

Question 986773: Express y as a function of x:
lny=5ln(2x)
Click here to see answer by Edwin McCravy(20059)

Question 986866: Im not sure how to factor and simplify this (x+3)^(1/2)-(x+3)^(3/2)
Thank you for your help.
Click here to see answer by jim_thompson5910(35256)

Question 986931: how do I factor an simplify (4x-1)^(1/2)-(1/3)(4x-1)^3/2)
thank you for your help.
Click here to see answer by macston(5194)

Question 987375: Put exponent in expanded form: -2^2(x+y)^3
Click here to see answer by Alan3354(69443)

Question 987612: Hi, i need to solve this logarithm
a) log3 x=4
b) log10 x=1/2
c) log3 (x-1)=1
d) log3,5 (2x�-5x+3)=0
THANK YOU SO SO SO MUCH !
Click here to see answer by Alan3354(69443)

Question 987611: HELP ! Need to solve this:
a)log8 1/4
b)log4 3√16
c)log8 5√2
Thanks !
Click here to see answer by Alan3354(69443)

Question 987651: HELP ! Need to solve this:
a)log8 1/4
b)log4 3√16
c)log8 5√2
Thanks
Click here to see answer by solver91311(24713)

Question 989089: Consider the equation: 5000 equals 1000 left parenthesis 1 plus r right parenthesis to the power of n
5000=1000(1+r)^n
Solve for r if n=46.

Click here to see answer by Alan3354(69443)

Question 989691: Solve 2/5 log 32
Click here to see answer by ikleyn(52800)

Question 989691: Solve 2/5 log 32
Click here to see answer by MathTherapy(10552)

Question 989766: Trying to solve this equation without success:
(e^x)-(e^(-x))=12
Click here to see answer by stanbon(75887)

Question 990682: log4 x^2-log4 (x-1)=1
Click here to see answer by josmiceli(19441)

Question 990680: log (x^2+1)-logx = log2
Click here to see answer by ikleyn(52800)

Question 990681: log2 (x-2)^2 -log2 (x+6)=2
Click here to see answer by ikleyn(52800)

Question 990797: Log(√x+7) + log2 = log(x-1)
Click here to see answer by MathLover1(20850)

Question 990868: Y=a-ab
Click here to see answer by Alan3354(69443)

Question 991907: Please help me to solve this with detailed workings, appreciated.
Given that f(x)=x^3+ 〖10x〗^1.5 +1 find the value of f�(1).
Click here to see answer by stanbon(75887)

Question 991907: Please help me to solve this with detailed workings, appreciated.
Given that f(x)=x^3+ 〖10x〗^1.5 +1 find the value of f�(1).
Click here to see answer by ikleyn(52800)

Question 991909: Please solve this: Given that f(x) = 〖(3x+1)〗^9, what is the derivative of this function?
Click here to see answer by stanbon(75887)

Question 991937: Please help in solving the equation for x : ln⁡〖5x^2 〗- ln⁡x = 3
a) 0.22
b) 0.60
c) 1.59
d) 4.02
Would very much appreciate if workings can be shown, thank you.

Click here to see answer by Theo(13342)

Question 991939: log2 (2x-1)=log4 (3x^2-4x+2)
Click here to see answer by MathLover1(20850)

Question 991939: log2 (2x-1)=log4 (3x^2-4x+2)
Click here to see answer by MathTherapy(10552)

Question 992048: Please help with this question and provide the workings. Find an equation of the tangent line to the graph of the function f at the point (1, 15). f(x)=〖3x〗^2-11x+23
Click here to see answer by stanbon(75887)

Question 992065: Please help solve this and provide workings, thank you.
Find the second derivative of f(x) = e^(7x+3)
a) 7e^(7x+3)
b) 〖49e〗^(7x+3)
c) (7x+3)(7x+2)e^(7x+1)
d) (7x+3)e^(7x+2)
Click here to see answer by jim_thompson5910(35256)

Question 991960: log4 (x-3)-log16 (x-3)=1
Click here to see answer by Theo(13342)

Question 991960: log4 (x-3)-log16 (x-3)=1
Click here to see answer by ikleyn(52800)

Question 993221: Please help me solve the exponential and logarithmic equation:
(4^x)-3(4^-x)=8
Click here to see answer by stanbon(75887)

Question 993383: (2logy+1)�� (6-2log6(1))�. Y and 6 are bases of log.
Click here to see answer by ikleyn(52800)

Question 993383: (2logy+1)�� (6-2log6(1))�. Y and 6 are bases of log.
Click here to see answer by Alan3354(69443)

Question 994706: Which of the following expressions is equivalent to the expressions 2 log x + log 4 − 3 log 4?
Click here to see answer by fractalier(6550)

Question 994706: Which of the following expressions is equivalent to the expressions 2 log x + log 4 − 3 log 4?
Click here to see answer by Alan3354(69443)

Question 994706: Which of the following expressions is equivalent to the expressions 2 log x + log 4 − 3 log 4?
Click here to see answer by Boreal(15235)

Question 994706: Which of the following expressions is equivalent to the expressions 2 log x + log 4 − 3 log 4?
Click here to see answer by MathLover1(20850)

Question 994848: If f(x)=a^x, show that f(A+B)=f(A)�f(B).
Click here to see answer by ikleyn(52800)

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