## Help with algebra problem involving logs

If (Log3 of x )( Logx of 2x)(Log2x of Y) =(log x of x^2) what is the value of Y?

http://www.wolframalpha.com/input/?i...+x+of+x%5E2%29

Wolfram Alpha gives me that but i need to know how to get there. THANKS!
 http://imgur.com/N8Ixn just to be clear
 Do you know about the base changing theorem?

Recognitions:
Homework Help

## Help with algebra problem involving logs

Welcome to PF, strike2kill!

 Quote by strike2kill If (Log3 of x )( Logx of 2x)(Log2x of Y) =(log x of x^2) what is the value of Y? http://www.wolframalpha.com/input/?i...+x+of+x%5E2%29 Wolfram Alpha gives me that but i need to know how to get there. THANKS!
What you would need is that ##\log_g a = {\log a \over \log g}##.
Can you find Y if you use this?

Btw, let's redo WolframAlpha with the proper expression:
http://www.wolframalpha.com/input/?i...8x%2C+x%5E2%29
Actually Wolfram does not give the answer, although you can read it off the graph that it generates.
 I'm sort of familiar with the change of base formula but I don't know how to apply it here
 Recognitions: Homework Help Replace (Log3 of x) by log(x)/log(3) and so on...
 Recognitions: Gold Member Science Advisor Staff Emeritus This has nothing to do with "Linear and Abstract Algebra" so I am moving it to "general mathematics".

 Tags abstract algebra, algebra 2, logs, urgent help needed