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 630468: Match the equation with the correct solution.
log3 5 + log3 x = log3 10
Click here to see answer by Tatiana_Stebko(1539)

Question 630467: Match the equation with the correct solution.
2e^x-5=1
Click here to see answer by Tatiana_Stebko(1539)

Question 630498: (Pre-calculus) In 1987, the number of AIDS cases in the US was estimated to be 50,000. In 2005, this number was estimated to be 1,000,000. Assume the trend continued. [*leave answers in terms of e and ln, etc*]
a) Set up a function of the form N(t) = N0 x e^kt
b) According to your model, how many cases occurred in 2000?
c) When, according to your model, will there be 5,000,000 cases?
Click here to see answer by nerdybill(7384)

Question 630469: Match the equation with the correct solution.
4^3x= 10
Click here to see answer by Alan3354(69443)

Question 630591: I need help solving this Log equation
4(1.02)^x=3(1.0)^x
Click here to see answer by lwsshak3(11628)

Question 630601: Log equation help:

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Question 630598: need help on log equation:

Click here to see answer by Edwin McCravy(20059)

Question 630595: Need help on Log equation:

Click here to see answer by stanbon(75887)

Question 630605:
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Question 630604:
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Question 630604:
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Question 631290: log4 (x+16) + log4(x+4) = 3
Click here to see answer by nerdybill(7384)

Question 631303: 3^n-2=27
Click here to see answer by Tatiana_Stebko(1539)

Question 631302: 4^3x=10
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Question 631305: 2ln3x+1=5
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Question 631513: g(x)=e^2^x -4
Click here to see answer by Alan3354(69443)

Question 631545: 2^(x + 4) = 5^(x - 3) round to the 4th decimal place. I've tried switching them over to log form and solving out but it seems it's always wrong.
Click here to see answer by Edwin McCravy(20059)

Question 631543: Please use the nth root Theorem to find all complex solutions of x4 +16 = 0. Write your answer(s) in exact rectangular form. Thanks!
Click here to see answer by stanbon(75887)

Question 631537: Please change each of the following to exact rectangular form. Show all work. Thanks!
a. -7, pi/2
b. 6e^i(3pi/4)
c. 4, -120 degrees

Click here to see answer by solver91311(24713)

Question 631549: Use rapid sketching techniques to graph r = 3 - 6 cos theta. Be sure to show how you arrived at your graph. Only use calculator to check. Thanks!
Click here to see answer by Edwin McCravy(20059)

Question 631548: Use rapid sketching techniques to graph r = 4 sin theta. Be sure to show how you arrived at your graph. Only use your calculator to check. Thanks!
Click here to see answer by Edwin McCravy(20059)

Question 631546: Please use a calculator to change 4e^(-0.88i) to rectangular form rounded to 2 decimal places. Thanks!
Click here to see answer by Edwin McCravy(20059)

Question 631544: Please use a calculator to change -0.135 + 1.67i to polar form. Round r and θ to 3 decimal places and let �л < θ ≤ л. Thanks!
Click here to see answer by Alan3354(69443)

Question 631539: Please use a calculator to change the rectangular coordinates (-2.5,7) to polar form. Round r and θ to 3 decimal places and let -180� < θ < 180�. Thanks!
Click here to see answer by Alan3354(69443)

Question 631738: Please change each of the following to polar form. Solve each equation for r or some power of r. Show all work. Thanks!
a.4y � 2y2 = 2x2
b.y = 8

Click here to see answer by Edwin McCravy(20059)

Question 631743: Please use de Moivre�s Theorem to find [2-2 sqrt (3i)^10]. Write your answer in exact rectangular form. Thanks!
Click here to see answer by Alan3354(69443)

Question 632013: log(x+5)-log(x+1)=log 6/x
Click here to see answer by lwsshak3(11628)

Question 632067: (-2^-2)^-1
1. Work inside parenthesis: (1/-2^2)^-1=(1/4)^-1
2. Clear exponent outside parenthesis: 4
This was marked as an incorrect answer. No correction given. Can you please help?
Click here to see answer by Theo(13342)

Question 632209: 2^?=1/8
Click here to see answer by Tatiana_Stebko(1539)

Question 632216: Please explain why the polar coordinates of a point are not unique, but the rectangular coordinates of a point are unique. (Remember that the points are always unique.) Thanks!!
Click here to see answer by solver91311(24713)

Question 632214: A triangle may have one, two, or no solutions. Please create a triangle that has two solutions, and another triangle that has no solutions. Explain the criteria used to develop each triangle, and how the number of solutions was determined. Thanks!!!
Click here to see answer by stanbon(75887)

Question 632217: Please tell how to graphically locate the nth roots of a complex number, given the location of one of the nth roots. Thanks!!
Click here to see answer by KMST(5328)

Question 632635: Graph y=10(3)x
Click here to see answer by jim_thompson5910(35256)

Question 632960: I'm trying to figure out how to calculate ln x - ln (x-4) = ln 5. Will you please help me with this?

Click here to see answer by nerdybill(7384)

Question 633098: An investment of $25,400 is placed into an account that earns 6.5% interest compounded quarterly. In how many years will the investment be worth twice the original amount?
2) Solve: log3(x+8) + log3x=2 The 3 are are at the bottom right corner.
3) log5x-log5(5-2)=log5(4) The 5 is in the bottom right corner also
4) 2^3x+1=13.4
Click here to see answer by ankor@dixie-net.com(22740)

Question 633093: Near Three Rivers, NM, there is an archaeological site containing petroglyphs. In 1998, archaeologists found that the amount of carbon-14 in the petroglyphs was 88.5%. Determine the approximate age of the petroglyphs. Show the carbon-14 dating model for the age of the petroglyphs and define variables. Explain how you found your answer. There are directions for how to type math characters in the Resource Center that will show you show to enter exponents and fractions.
Click here to see answer by ankor@dixie-net.com(22740)

Question 633402: Please explain why the polar coordinates of a point are not unique, but the rectangular coordinates of a point are unique. (Remember that the points are always unique.) Thanks!!
Click here to see answer by MathLover1(20850)

Question 633582: I am working on college algebra and have come to a stop. Question is : in 2005 population is 72.6 million. Projected growth rate k is .0165 and I need to find the projected 2037 population. A=A0e^kt so I have A=72.6e^.0165(32) for the 32 years difference of 2005 to 2037. But it says I need to use a calculator to find the answer. The answer it gave was 123.1 and I have no idea how it did that.
Click here to see answer by josmiceli(19441)

Question 633839: please, solve 1/3log(x)-log10,000=4
my email is, martaayele@yahoo.com
Click here to see answer by lwsshak3(11628)

Question 633839: please, solve 1/3log(x)-log10,000=4
my email is, martaayele@yahoo.com
Click here to see answer by solver91311(24713)

Question 634379: find the value of (7)to the negative third power
Click here to see answer by Alan3354(69443)

Question 634378: find the value of (-8x)to the third power

Click here to see answer by jim_thompson5910(35256)

Question 634492: 2-(3-x)=0
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Question 634726: Write an exponential function for y=ab^x for a graph that includes (1,15) and (0,6)
Click here to see answer by stanbon(75887)

Question 634844: simplify. (5x^2y)(-4x^3y^5)
Click here to see answer by jim_thompson5910(35256)

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