SOLUTION: Simple logarithm problem-- Could someone please help me? I've got a test tomorrow and my professor did not have time to explain. I'm stuck! log3x^2=2+log9x Thank you!

Question 796118: Simple logarithm problem--
Could someone please help me? I've got a test tomorrow and my professor did not have time to explain. I'm stuck!
log3x^2=2+log9x
Thank you!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
log3x^2=2+log9x
Assume it is:
log(3x^2) = 2 + log(9x)
Subtract log(9x) from both sides
log(3x^2) - log(9x) = 2
Subtracting logs is the same as divide so we can write this
= 2
note that the 3 cancels into the 9 and x into x^2, leaving us with
= 2
The anti log of both sides, (10^x) on the calc)
= 100
x = 3*100
x = 300
:
:
See if that checks out
Enter in your calc: log(3*300^2) = 5.431..
Enter: 2 + log(9*300) = 5.431.. equality reigns
RELATED QUESTIONS
6x-7= 2x=29 My teach helped me to understand this. I got an answer of x=9. My teacher... (answered by CassieLynn,stanbon,ankor@dixie-net.com,josmiceli)

Could someone please possibly see what I am doing incorrectly in trying to solve the... (answered by greenestamps)

Hi. I'm a college freshman and my professor did not explain very well logarithms. I was... (answered by Alan3354)

okay so tomorrow i have a math test and two questions are over maximizing an objective... (answered by KMST)

I am havin a hard time learning how to "aproximate a logarithm to the nearest thousandth" (answered by Alan3354)

hi i need help with the equation 10^(4log10^3). it asks me to evaluate it, and the anwer (answered by venugopalramana)

I am going to take my grad exam again Monday for the 3rd time. I do NOT know how to... (answered by Tatiana_Stebko)

I have been working on this math problem and I got an answer, but I am not sure if I did... (answered by vleith,ankor@dixie-net.com,josmiceli,stanbon)

The following questions are driving me crazy, please help!!!!! 1) Express as a single... (answered by Earlsdon)