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 404056: My teacher gave me a problem to solve and we've been doing these kind off equations all week and I just don't get them....The growth rate of the world is 2.67% per year.If the present population of earth is 8 billion people, how long before the population doubles?
Click here to see answer by stanbon(75887)

Question 404034: (-7)^(2)(-7)
Click here to see answer by rfer(16322)

Question 404182: "What are the real number solutions to g^3+3g^2-g-3=0"
Click here to see answer by robertb(5830)

Question 404179: "what is the factor form of 36m^6+12m^4+m^2"
please help me factor 36m^6+12m^4+m^2
Click here to see answer by MathLover1(20850)

Question 404266: How do I expand this logarithm?
log3(2X)^2

Click here to see answer by stanbon(75887)

Question 404269: How do I evaluate the expression using the properties of logarithms?
log1 + log100
Click here to see answer by stanbon(75887)

Question 404267: How do I expand this logarithm?
log square root of X/ Y^2
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Question 404267: How do I expand this logarithm?
log square root of X/ Y^2
Click here to see answer by MathLover1(20850)

Question 404278: How do I solve the following:
Assume that Log 4 ≈ 0.602, log 5 ≈ 0.699 and log6 ≈0.778.
Use the properties of logarithms to evaluate the expression:
log1/4
Click here to see answer by stanbon(75887)

Question 404283: How do I evaluate this expression using the properties of logarithms?
2log₈4 � 1/3 log₈8
Click here to see answer by josmiceli(19441)

Question 404298: Can you please help me to solve the following:
sue the porperites of logarithms to evaluate this expression without using a calculator.
2log₈4 � 1/3log₈8

Thank you!
Click here to see answer by Alan3354(69443)

Question 404276: How do I solve the following:
Assume that Log 4 ≈ 0.602, log 5 ≈ 0.699 and log6 ≈0.778.
Use the properties of logarithms to evaluate the expression:
Log24

Click here to see answer by MathLover1(20850)

Question 404307: Can you please help to solve the following:
Assume that log 4 ≈ 0.0602, log 5 ≈ 0.699 and log 6 ≈ 0.778. Using the properties of logarithms evaluate the following expression without using a calculator:
log 1/4
Click here to see answer by stanbon(75887)

Question 404306: Can you please help to solve the following:
Assume that log 4 ≈ 0.0602, log 5 ≈ 0.699 and log 6 ≈ 0.778. Using the properties of logarithms evaluate the following expression without using a calculator:
Log24

Click here to see answer by stanbon(75887)

Question 404282: How do evaluate this expression using the properties of logarithms?
2log₃3 - log₃3
Click here to see answer by nerdybill(7384)

Question 404296: Can you please help me to write this logarithm as a single logarithm?
1/2logx + 1/3logy -2logz
Thank you!
Click here to see answer by stanbon(75887)

Question 404296: Can you please help me to write this logarithm as a single logarithm?
1/2logx + 1/3logy -2logz
Thank you!
Click here to see answer by MathLover1(20850)

Question 404459: the propertiesof logarithms to evaluate each expression
log125
Click here to see answer by MathLover1(20850)

Question 403941: Solving exponential equations
(2/3)e^4x + (1/3) = 4
I substracted 1/3 from each side but them I'm stuck and don't know what to do
(2/3)e^4x = 3(2/3)
How do I solve this problem?
Click here to see answer by jsmallt9(3758)

Question 404744: rewrite the expression: (2x)^3*(3x^2)^4
Click here to see answer by stanbon(75887)

Question 404799: how to solve 3x=7^(log7(6))
Click here to see answer by richard1234(7193)

Question 405170: 4^(3x-2)=1
Click here to see answer by Alan3354(69443)

Question 405378: Gone Fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?

Click here to see answer by robertb(5830)

Question 405524: You deposit $1000 into an account that pays 4.8% interest compounded quarterly.
A. Write an exponential function to model the amount of money in your savings.
B. How much will you have in your account after 1 year? 2years?
Click here to see answer by Alan3354(69443)

Question 405520: Suppose you put $500 in a savings account. The account pays 6.4% annually.
A. Model the amont in the savings account with an exponential function
B. How much money is in the account after 2yrs? 5yrs?
Click here to see answer by ewatrrr(24785)

Question 405574: what is 9 to the 15 power under a radical, with the index as 3
Click here to see answer by jim_thompson5910(35256)

Question 406573: write an exponential function that includes (2,20)(0,5)
Click here to see answer by richard1234(7193)

Question 406670: Rewrite as a logarithmic equation
e^y=3
Click here to see answer by ewatrrr(24785)

Question 406696: Evaluate the Logrithm Log2(1/32)
The 2 is lower case.

Click here to see answer by nerdybill(7384)

Question 406827: I just entered in Algebra 2 halfway through the year. I have no idea how to do these problems could you please send me an example on how to do this so that I will have something to go by.
x squared -19x + 18
Click here to see answer by Alan3354(69443)

Question 406991: Solve:
ln3-(lnx+ln6)=lnx-ln8
(natural logs, no given bases)
Click here to see answer by Alan3354(69443)

Question 406984: This is a natural log (ln) question and I just need to know how to solve it correctly.
Solve:
e^x=5
Can you please show me the steps? Thanks!!

Click here to see answer by richard1234(7193)

Question 407042: How would you graph
y = ln x + 4
I know the asypmtote would be @ vertical -4
but in not sure how to make the T chart, what to plug in for x, etc.
Click here to see answer by jsmallt9(3758)

Question 407498: x= ln 3 + ln 4 - ln 2
Click here to see answer by jim_thompson5910(35256)

Question 407495: Log base4 (x+5) = log base4 (9x-3)
Click here to see answer by jim_thompson5910(35256)

Question 407497: Simplify:
Cubed root of 8e^9x z
all under the cubed root.
The 'e' is the number 2.7 and is for ln's.
Click here to see answer by ankor@dixie-net.com(22740)

Question 407632: name the parent function; list 3 points that exist on the graph of the parent function; and describe the transformations needed to obtain the given function;
f(x)= 3+log base 2 of (-x)
Click here to see answer by jsmallt9(3758)

Question 407033: Solve:
ln(x+2)+lnx=ln35
Click here to see answer by jsmallt9(3758)

Question 408778: Is there a faster way to simplify (x-y)^8 than distributing it? I'm having a hard time figuring it out.
Click here to see answer by jim_thompson5910(35256)

Question 408816: log(3x-5)-log(5x)=2
The key is no solution
Click here to see answer by scott8148(6628)

Question 408795: log x =2
The key is {100}
I don't know how to get 100
Thank you
Click here to see answer by scott8148(6628)

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