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 185156: Hi:) I need some help:)
Solve for x:
1) logbase[5](x+1)+logbase[5](x-2)=logbase[5] 4
2) 1/3 logbase[3] 27+logbase[3] x = 4^(1/2)
3) logbase[2](x-6)+logbase[2](x)=4
4) logbase[4](2x+1)-logbase[4](x-2)=1
Click here to see answer by nerdybill(7003)

Question 185693: Find the value of x.
logx4/169=2
a) x=3/13
b) x=2/13
c) x=+-13/2
d) x=13/2
e) x=+-14/2
Click here to see answer by stanbon(57949)

Question 185701: If you've got a minute, can you please help with this algebra problem?
4100 = 100*((1+X)^20 -1)/X

I can also take this down to
41X+1 = (1+X)^20
but that doesn't help me
Click here to see answer by stanbon(57949)

Question 185781: Assume that x,y and z are positive numbers. Use the properties of logarithms to write the expression log (square root:5(x^4y^6/z^5) in terms of the logarithms of x, y, and z.
a) 4/5logx+6/5logy-logz
b) 6/5logx+4/5logy-logz
c)4/5logx+4/5logy+logz
Click here to see answer by Edwin McCravy(8999)

Question 185838: 2x=100
Click here to see answer by Bubbles92(6)

Question 185922: Please help me :)
1) You invest $18000 at 6% interest per year. Set up an exponential equation and use it to determine how much money you will have after 5 years.
2) The chemical element strontium has a half-life of 25 years. If 8g were present initialy, how long will it take for the amount to be reduced to 2g? Set up an exponential equation and solve algebraically.
3) Solve for x: 3^(4x-1)= 9^1/3
Click here to see answer by ankor@dixie-net.com(15746)

Question 186098: Help please!!
-3^(2-x) =-81
Click here to see answer by stanbon(57949)

Question 186125: log3 81=
Click here to see answer by Alan3354(31503)

Question 186124: log3 81=
Click here to see answer by edjones(7569)

Question 186124: log3 81=
Click here to see answer by feliz1965(151)

Question 186203: Without graphing, determine whether each equation represents exponential growth or decay.

y=15(7)^x

y=1285(0.5)^x
Click here to see answer by stanbon(57949)

Question 186471: 4^2x+1=64
4^log X=8

e^x+1=.05
Please help me solve these problems. Thank you!
Click here to see answer by stanbon(57949)

Question 186562: The problem directions state: Solve the equation. Check for extraneous solutions.
49.) 2ln(-x)+7= 14
I understand you remove 7 from both sides, but I am wondering how I change this particular problem into exponential form and what is the set-up for exponential form! Thanks!
Click here to see answer by josmiceli(9817)

Question 186668: Write an exponential function for a graph that includes the given points.
1.)(–1, 5),(0.5, 40)
Click here to see answer by jim_thompson5910(28699)

Question 186664: i really need help on these problems.. thank you :)
describe how the graph of the function is related to the graph of its parent function.
y = 3^x-4
Write the logarithmic expression as a single logarithm.
log a - log ab
expand the logarithm
log y^2/z
write the experssion as a single natural log
5 ln a + 3 ln b
Click here to see answer by jim_thompson5910(28699)

Question 186795: This problem is from the Graphing Calculator supplement to Paul Foerster's Algebra and Trigonometry. Worksheet 6-12, #1:
Fine the inverse equation of y = 2x-3. My steps, which arrived at an incorrect answer:
y+3 = 2x
(y+3)/2 = x

y = 1/2x + 3/2
Thanks!

Click here to see answer by jim_thompson5910(28699)

Question 186942: log base 3 (x+1) - log base 3 x = log base 3 8
Click here to see answer by jim_thompson5910(28699)

Question 186944: please help! i cant solve this log equation.

2 ln x+ ln(x+7) =3 ln(x+1)
Click here to see answer by jim_thompson5910(28699)

Question 187004: 3^2-8x= 9^3x+1
Click here to see answer by user_dude2008(1861)

Question 187005: 8^3t=32^4t-1
Click here to see answer by user_dude2008(1861)

Question 187155: 9^X = 1/243
Click here to see answer by nerdybill(7003)

Question 187182: 10^log^(2x+7) = 8
Click here to see answer by 543210aaa(2)

Question 187263: we are doing solving equations by using logarithms. im stuck.
8^x=10

Click here to see answer by user_dude2008(1861)

Question 187395: After 13 years, 2.1 pounds of radioactive material remains from a 7 pound sample. What is the half-life of this material?
Click here to see answer by stanbon(57949)

Question 187429: Im not very good at math. I struggle in this subject. I cant seem to remember steps in problems and when it comes to test my mind goes blank.
Will you help me solve this problem?
Copy and Complete each equation.
2 to the Power of 4
Over 2 to the Power of 3
=
2 to what Power?
Click here to see answer by jim_thompson5910(28699)

Question 187644: Graph y=x^-2
Click here to see answer by Earlsdon(6294)

Question 187666: What are the asymptotes of the functions "f(x) = 4x" and "g(x) = log5x"?
Click here to see answer by user_dude2008(1861)

Question 187684: example of exponential function and logarithmic function
Click here to see answer by jim_thompson5910(28699)

Question 187844: i need help on this problem. i am supposed to solve the equation and check for extraneous solutions. i worked it out but i did not get the right answer. i need help finding the real one.

3^(x^2)=1
log3(x^2)=log1
x^2log3=log1
x^2=log1/log3
x^2=o
x= square root of 0
x=o
Click here to see answer by Alan3354(31503)

Question 187785: how do you simplify log(um)/ ln(um)
Click here to see answer by Alan3354(31503)

Question 188103: How do you solve the following equation? ln X + ln(x+3)= 1
Thanks for using your time to help me out.
Click here to see answer by stanbon(57949)

Question 188310: For the exponential function ex and logarithmic function log x, graphically show the effect if x is halved.

Click here to see answer by Alan3354(31503)

Question 188484: HOW DO YOU SOLVE:
5log(x-2)=11
I know that you divide by 5 and get log(x-2)=11/5 but what do you do after that?
Click here to see answer by stanbon(57949)

Question 188675: please help me solve this equation!!

The equation is an example of
a.exponential growth
b.exponential decay
c.this is not an exponential equation
Click here to see answer by Earlsdon(6294)

Question 188836: ok.well im having a lot of troulble with logs so i have a question.here is my problem...(16 to the 3/4 power - 16 to the 1/4 power)to the -3/2power.
i have no clue on what to do.please help!
Click here to see answer by Alan3354(31503)

Question 188961: I need to see the steps on how to solve this equation or problem:
8^x-1+32^3x-2
Click here to see answer by Alan3354(31503)

Question 189102: How do I simplify:
4^{log [2^(log 5)]}
*both logs have a base of 2*
Thanks
Click here to see answer by jim_thompson5910(28699)

Question 189134: how do i graph the logarithmic funtion y=3log5x?
Click here to see answer by Alan3354(31503)

Question 189247: i do not know how to solve:
9-4e^x=5
Click here to see answer by Alan3354(31503)

Question 189246: i do not know how to go about solving:
ln(x-3)+6lnx
Click here to see answer by Alan3354(31503)

Question 189243: I do not know hoe to solve the following problem:
9ln5x=3
Click here to see answer by Alan3354(31503)

Question 189330: Sound: the level of sound V in decibels with an intensity I can be modeled by
V= 10log(I/10^-16)
Where I is intensity in watts per centimeter. Loud music can have an intensity of 10^-5 watts per centimeter. find the level of sound of loud music
Click here to see answer by ankor@dixie-net.com(15746)

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