I'll assume you mean the natural logarithm.  The condition that $\log \log m = q \log \log n$ where $q = \frac{a}{b}$ is rational is equivalent to the condition $(\log m)^b = (\log n)^a$.  If $m \neq n$ then $a \neq b$ and this condition cannot be satisfied if $\log m$ is a rational multiple of $\log n$ because $\log n$ is transcendental by Lindemann-Weierstrass.

If $\log m$ is not a rational multiple of $\log n$, then this condition cannot be satisfied if one assumes Schanuel's conjecture, since then $\mathbb{Q}(n, m \log n, \log m)$ would have transcendence degree $1$.  So this is likely to be true but out of reach of current technology (although I don't know enough about transcendence theory to say this with any authority). 

Can $(\log\log m)/(\log\log n)$ be rational?
I am new in magento and a little confused to how to start work in it.
I studied the basics of magento and found its structure really complex.

I never worked on a CMS before and I have a little knowledge of php and html but I am not good in css.

Should I learn the css before start working in magento or it will not be a big problem.

What are the easiest steps for learning magento. Please give me some ideas.

Thanks.
