Help with algebra problem involving logs

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!

strike2kill

http://imgur.com/N8Ixn
just to be clear

AlchemistK

Do you know about the base changing theorem?

I like Serena

Welcome to PF, strike2kill!

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.

strike2kill

I'm sort of familiar with the change of base formula but I don't know how to apply it here

I like Serena

Replace (Log3 of x) by log(x)/log(3) and so on...

HallsofIvy

This has nothing to do with "Linear and Abstract Algebra" so I am moving it to "general mathematics".