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 203784:
i have this problem
2e^(4x-2)=9
i know that i can use the calculator to find (e) but what about x?
thank you in advance! :-]
Click here to see answer by nerdybill(6948)

Question 203769: Find the area under the split-domain function from x = -2 to x = 3.
f(x)= {7-x^2, (x<0)
......{7 , (x>= 0)
have the graph but having trouble setting up can someone help please
thanks
Click here to see answer by jsmallt9(3296)

Question 203793: I am so confused on (ln) & (logs) & (e)....
problem
10^(t^2-t)=100
what does this mean? and how do i solve?
Click here to see answer by RAY100(1637)

Question 203881: Hello,
Here is the question that I have to answer. I am totally lost!! I have read the book over and over again and cannot figure this out.
1. Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions.
I am guessing but I think that an example of an exponential function would be e^2-13=x. I have no idea how to then convert this to a logarithmic function and to plot a graph. Please someone help break this down for me to understand. I want to learn it!! Thank you in advance for your time.
Colleen
Click here to see answer by Alan3354(30962)

Question 203895: Having trouble figuring this out- I know what to do but not sure how to format with the sqrt 1+x.
Here is the question
Find the volume generated by revolving about the x-axis the regions bounded by the following graphs:
y= sqrt 1+x
x= 2
x= 9
thanks

Click here to see answer by jsmallt9(3296)

Question 204045: I am so lost can someone help please
find all the asymptotes for the following function
x-5/2x+1
vertical asymptote =
horizontal asymptote =
thanks so much
Click here to see answer by scott8148(6628)

Question 204144: Please help with this one. I need assistance with word problems. I need to pass this class. Thanks in advance.
A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours?
Click here to see answer by scott8148(6628)

Question 204146: Please help me with this one. I had a difficult time trying to do this one. I don't think that I have the right set up. Thanks in advance.

The level of thorium in a sample decreases by a factor of one-half every 2 million years. A meteorite is discovered to have only 8.6% of its original thorium remaining. How old is the meteorite?
Click here to see answer by scott8148(6628)

Question 204143: Can someone help me out with this one? I really need help with word problems. I thank you in advance.
What are the asymptotes of the functions "f(x) = 4x" and "g(x) = log5x"?
Click here to see answer by RAY100(1637)

Question 204142: Can anyone help me with this one? I am have a hard time figuring this one out. I really need your help to pass this class. Thanks in advance.
True or false: The function "f(x) = 4x" grows four times faster than the function "g(x) = x". Explain.
Click here to see answer by RAY100(1637)

Question 204141: Could anyone help me with this. I am not sure how to do it. I really need your help.

Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.

Click here to see answer by Earlsdon(6287)

Question 204301: simplify without negative exponents [xy^5/x^-4y^2]^-2
Click here to see answer by RAY100(1637)

Question 204842: How much would $120 invested at 6% interest compounded annually be worth after 21 years? Round your answer to the nearest cent. Do not include units in your answer.

Click here to see answer by rfer(12644)

Question 204835: How much would $120 invested at 6% interest compounded annually be worth after 21 years? Round your answer to the nearest cent. Do not include units in your answer.

Click here to see answer by Alan3354(30962)

Question 204844: How much would $100 invested at 8% interest compounded continuously be worth after 15 years? Round your answer to the nearest cent. Do not include units in your answer.

Click here to see answer by Alan3354(30962)

Question 205083: improper integrals
upper is infinity
lower 4
x^(-3/2) dx
having trouble can someone help please
Click here to see answer by Alan3354(30962)

Question 205254: Solve for x: x(5^x) + 8(5^x)=0
Click here to see answer by edjones(7569)

Question 205334: I need help with the problem: log 5 (.04)
Click here to see answer by stanbon(57222)

Question 205079: having trouble with this can someone help please
solve
y'=7y^-2, y=3 when x=1
thanks

Click here to see answer by Alan3354(30962)

Question 205462: COuld you please help me to condense 2*logx + log 5
Please include all the steps and and an explanation on how and why you did that.
Thanks so much
Click here to see answer by stanbon(57222)

Question 205441: Having problems with this chapter I took a test on this chapter today and didn't do good. Could you break it down for me so I can know how to work these problems out.
Click here to see answer by rapaljer(4667)

Question 205515: In 2000, the population of Isreal was approximeatly 6.04 million and the population of the Palestinians in the West Bank, Gaza Atrip, and East Jerusalem was approximately 3.2 million in 2050 Israel is projected to grow to 10 million and the population of Palestinians to 12 million.
Use the exponential growth mdoel A=A(subscript, 0)e^kt, in which t is the number of years after 2000 to find an exponential growth function that models the data for the Israeilis and growth function that models the data for the Palestinians. n which year will each of the populations reach 9 million??
This is a long one...I know I am sapose to use the continuous growth model but I dont really know what numbers go in what spot to make an equation!..
help?
Click here to see answer by stanbon(57222)

Question 205572: log(subscript 4)(2x+1)=log(subscript 4)(x-3)+log(subscript 4)(x+5)
(so subscript is like pushing the downward arrow.)

Click here to see answer by Earlsdon(6287)

Question 205572: log(subscript 4)(2x+1)=log(subscript 4)(x-3)+log(subscript 4)(x+5)
(so subscript is like pushing the downward arrow.)

Click here to see answer by RAY100(1637)

Question 205610: Evaluate the expression
log(subscript 3)(log(subscrip8)8)
Click here to see answer by user_dude2008(1861)

Question 205609: SOLVE for X
9^(x+2)=27^(-x)
Click here to see answer by user_dude2008(1861)

Question 205614: In 2000, the population of Isreal was approximeatly 6.04 million and the population of the Palestinians in the West Bank, Gaza Atrip, and East Jerusalem was approximately 3.2 million in 2050 Israel is projected to grow to 10 million and the population of Palestinians to 12 million.
Use the exponential growth mdoel A=A(subscript, 0)e^kt, in which t is the number of years after 2000 to find an exponential growth function that models the data for the Israeilis and growth function that models the data for the Palestinians. In which year will the Israeli and Palestinian populations be the same??
Click here to see answer by stanbon(57222)

Question 205715: If f(x) =3 to the x power and g(x)= 1/4 to the x power. Find the following
f(3), f(-3), g(3).
Click here to see answer by stanbon(57222)

Question 205894: log(log x) = 1
Click here to see answer by stanbon(57222)

Question 207171: Please give the logarithms for log10 square root of 6.
Click here to see answer by user_dude2008(1861)

Question 207169: Please write in logarithmic form 1/2^4=1/16
Click here to see answer by scott8148(6628)

Question 207173: Using the table of logarithms given on pages 812-813, find the value of
1. cubed root of 100
2. (.68)^5
Click here to see answer by rfer(12644)

Question 207173: Using the table of logarithms given on pages 812-813, find the value of
1. cubed root of 100
2. (.68)^5
Click here to see answer by Alan3354(30962)

Question 207389: EVALUATE THE FORMULA V=Bh/3 for each pair of values

B=500ft^2, h=9ft

Click here to see answer by rfer(12644)

Question 207390: simplify each expression
(2=3)^2 - 10
(2^3 = 3^2) - 16
Click here to see answer by Alan3354(30962)

Question 207543: Simplify
e^ln 3
Click here to see answer by stanbon(57222)

Question 207687: Can you please help me solve this problem: 4e^2x=12. What I've done so far is add natural log to both sides. ln^4e*2x= ln12. After this I am not sure what to do next.
Click here to see answer by ankor@dixie-net.com(15624)

Question 209826: could someone please help.I posted these about 4 days ago,but got no response.Thanks
find the equation for f^-1(x)
1. f(x) = -3x
2. f(x) = x-7
3. f(x) = (-2/5)x + 10
4. f(x) = x^2 + 1
rewrite as logarithmic equations.use your calculator to solve for x.round to the nearest thousandths.
(a) 9^x = 60
(b) 4^3x = 100
(c) 6^(x+2) = 42
compute
1. (4 X 10^4)(7 X 10^-6)
2. (2 X 10^-4)divided by (8 X 10^-9)
thank you so much for the help.I really appreciate your time and effort.Sarah
Click here to see answer by nyc_function(2733)

Question 210048: please help.
write the equations in logarithmic form
1.4^8 = 65,536
2.10^4 = 10,000
3.2^x = 8
4.a^x = b
Thanks for your time and help.I really appreciate it.Let me assure you that I am not a student seeking homework answers.I am a homeschooling mom.
Click here to see answer by tutor_paul(490)

Question 210168: Trying to solve:

8^x^2 = 2^x+4
(8 raised to the x power which is squared equals 2 raised to the x+4 power
Click here to see answer by Earlsdon(6287)

Question 210173: when a constant is added to an exponent how is a graph affected?
when a constant is added to the base how is a graph affected?
Click here to see answer by stanbon(57222)

Question 211762: Pls help
1/125, 1/25, 1/5.....to 7term
• Write the next 3 terms,
• Find the indicated tn,
• Find the indicated Sn.

Click here to see answer by stanbon(57222)

Question 211762: Pls help
1/125, 1/25, 1/5.....to 7term
• Write the next 3 terms,
• Find the indicated tn,
• Find the indicated Sn.

Click here to see answer by RAY100(1637)

Question 211764: An automobile purchased for $3,000 depreciates in value 12% every year. Finds its value at the end of 5 years.
Click here to see answer by checkley77(12569)

Question 212118: find the solution to the exponential equation correct to four decimal equations.
5+3^(5x)=13
Click here to see answer by Fombitz(13828)

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