# Problem with logs

• December 31st 2007, 08:35 AM
ceasar_19134
Problem with logs
I need the solution to the problem:

log2 ((x^2)+1)-log4 (x^2) = 1

It gives me a hint to change log4 (x^2) to base 2, but I'm not sure how to go about doing that.
• December 31st 2007, 08:39 AM
Isomorphism
Quote:

Originally Posted by ceasar_19134
I need the solution to the problem:

log2 ((x^2)+1)-log4 (x^2) = 1

It gives me a hint to change log4 (x^2) to base 2, but I'm not sure how to go about doing that.

A clearer hint:
$\log_4 {x} = \frac{\log x}{\log 4} = \frac{\log x}{2\log 2} = \frac{\log_2{x}}{2}$

Now you can rewrite everything in terms of $log_2$. Complete it :)