Can You Solve This Logarithmic Inequality?

[berdan]

Homework Statement

Here is the problem :
https://www.dropbox.com/s/otzzne7wjyuqa5o/question.jpg?dl=0
I've tried solving this inequality but alas,nothing...It's an exam question for my student,and for my great shame,I have no idea how to solve it :(

 

[Moriarty]

What have you tried so far? I know it looks scary, but why don't you try using some of your laws of logarithms.

 

[HallsofIvy]

You might also want to use the fact that
$$log_a(x)= \frac{log_b(x)}{log_b(a)}$$
to get the two logarithms to the same base.