# Help with algebra problem involving logs

1. Feb 4, 2012

2. Feb 4, 2012

3. Feb 5, 2012

### AlchemistK

Do you know about the base changing theorem?

4. Feb 5, 2012

### 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=log(3,+x)+*+log(x,++2x)+*+log(2x,+Y)+=+log(x,+x^2)
Actually Wolfram does not give the answer, although you can read it off the graph that it generates.

5. Feb 5, 2012

### strike2kill

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

6. Feb 5, 2012

### I like Serena

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

7. Feb 5, 2012

### HallsofIvy

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