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 299779: Rewrite each of the following as an equivalent exponential
equation.Do not solve. loge 0.989 = -0.0111
Click here to see answer by stanbon(57342)

Question 299779: Rewrite each of the following as an equivalent exponential
equation.Do not solve. loge 0.989 = -0.0111
Click here to see answer by Alan3354(30993)

Question 299875: 3^n-2=27

Click here to see answer by Fombitz(13828)

Question 300015: how do you turn 4 into 1/16 using an exponent with the 4
Click here to see answer by Edwin McCravy(8909)

Question 300591: f(x)=2^3log_2(8x+3)
express this function without logarithms
Click here to see answer by dabanfield(803)

Question 300696: Suppose f(x)=3x-6, g(x)=x^2 + square root of x, and h(x) = x/3 + 2
What is: f(g(4))
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Question 301108: Log base 2 to the power of 80
Click here to see answer by Alan3354(30993)

Question 301192: i need a step-by-step solution to the problem:
log[2](16^3x)=3x-1
(solving for x). thanks.
Click here to see answer by Alan3354(30993)

Question 301207: 4-x= lnx
Thank you
Click here to see answer by Fombitz(13828)

Question 301569: Carbon-14 has a half-life of 5700 yrs. Scientists use this fact to determine the age of things made of organic material. Suppose the average page of a book containing approximately 0.5 mg of carbon-14 is put into a time capsule. How much c-14 will each page contain after 5700 yrs.
Click here to see answer by nerdybill(6958)

Question 301789: log sub 2 (x^3 + 3) = 2. I have tried a couple of times to solve this one. I keep ending up with the wrong answer. The correct answer is 1. How do I get there from here?
Click here to see answer by Alan3354(30993)

Question 302009: solve to three significant digits:
the cube root of (4t plus 3) is equal to 8.15
Click here to see answer by nerdybill(6958)

Question 302006: solve:
x^(2/3)=50
Click here to see answer by london maths tutor(243)

Question 302007: solve: (fifth root of x) divided by 9, is equal to 7
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Question 302005: solve:
12^(2x)=100
Click here to see answer by Alan3354(30993)

Question 302004: solve:
12^(2x)=100
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Question 302209: 2. Bacteria grow by cell division. If each cell divides into 2 in every 2 minutes how many cells will exist after 32 minutes? Assume there was only one cell at the beginning
Click here to see answer by nerdybill(6958)

Question 302412: Find the approximate decimal solutions to the following equation:
4X^2-9X-5=0
Answers are either:
0.46107,-2.77107
0.46107, 2.71107
-0.46107, -2.71107
-0.46107, 2.71107
Click here to see answer by london maths tutor(243)

Question 302625: Solve for x: Logb 36 - Logb 2 = Logb x
Click here to see answer by nerdybill(6958)

Question 302549: 3e^x/4e
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Question 302669: Does the function f(x) = 3^x grow 3 times faster than g(x) = x?
Click here to see answer by Alan3354(30993)

Question 302788: Hello:
I have a question. I appreciate you taking the time to help me understand so I can get a great grade.
3.5^3x+1=65.4
log 3.5^3x+1=log 65.4
Power Principle
(3x+1)log3.5=log 65.4
(3x)log3.5+(1)log3.5= log65.4
Subtract -(1)log3.5 -(1)log3.5
(3x)log3.5=log65.4-(1)log3.5
(3x)log3.5/log3.5=log65.4-(1)log 3.5/log3.5
At this point, I am lost.
Tina
Click here to see answer by solver91311(16885)

Question 302820: 5-3^x=-40
Click here to see answer by richwmiller(9135)

Question 303180: solve the equation x^3+2x^2+x+2=0 if -2 is a root
Click here to see answer by CharlesG2(828)

Question 303314: 2^n
___ = 2^6
2^-1
Click here to see answer by user_dude2008(1861)

Question 303560: solving equations log5 (2X + 15) = log5 3X
Click here to see answer by nerdybill(6958)

Question 303556: An investment with interest compounded continuously doubled itself in 16 yr. What is the interest rate? Please help, I don't get this word problem at all.

Click here to see answer by Theo(3464)

Question 303996: Soil from beneath the Kish Church in Azerbaijan was found to have lost 12% of its carbon-14. How old was the soil?
Click here to see answer by ankor@dixie-net.com(15650)

Question 304004: the logarithm of 2x to the base 4 equals the logarithm of 3x-2 to the base 4
Click here to see answer by richwmiller(9135)

Question 304384: Andy's average driving speed for a 4 hour trip was 45 miles per hour. During the first 3 hours he drove 40 miles per hour. What was his average speed for the last hour on his trip.
Click here to see answer by mananth(12270)

Question 304757: use radical notation to rewrite the expresion. then simplify
2251/2=
Click here to see answer by themathtutor2009(81)

Question 305648: How do i go about solving questions such as 4x^2/3= 18 and 3^x=75
I am to solve for x.
Click here to see answer by Alan3354(30993)

Question 305648: How do i go about solving questions such as 4x^2/3= 18 and 3^x=75
I am to solve for x.
Click here to see answer by mananth(12270)

Question 305649: e^x times 6e^3x-1
Click here to see answer by Alan3354(30993)

Question 305669: What is the parent function of a logarithm?
Click here to see answer by solver91311(16885)

Question 305669: What is the parent function of a logarithm?
Click here to see answer by stanbon(57342)

Question 305669: What is the parent function of a logarithm?
Click here to see answer by Alan3354(30993)

Question 306056: how do u solve this equation
2^3-y=8

Click here to see answer by themathtutor2009(81)

Question 306063: How does the parent function related ot the graph of the function in the following cases?
y=(-2^x)+ 1
y=3^(x-4)
y=(5^(x+1))-2
Click here to see answer by richwmiller(9135)

Question 306446: Solve(2t^5/w^4)^3
Click here to see answer by checkley77(12569)

Question 306695: 384*10x=32
the x is an exponent, its 10 to the x power
Click here to see answer by nerdybill(6958)

Question 306722: Solve the equation for x and round your answer to the nearest hundreth.
5 = ln(x + 1)
Click here to see answer by Fombitz(13828)

Question 306845: What is the graph of x^2/16-y^2/64=1?
Click here to see answer by Fombitz(13828)

Question 307038: log9
Click here to see answer by rapaljer(4667)

Question 307038: log9
Click here to see answer by unlockmath(1599)

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