I'm a little stumped here, as we have a constant to the power of an exponent.. How would I simplify this:

$\displaystyle 6^{\log_{2}n}$

--------------------------------------------------------------------------

I would also appreciate it if someone could tell me if the answer I came up with for the following is correct:

Simplify the following:

$\displaystyle \log_{10}(10(\log_{10}n^3)100^{2n})$

My answer:

$\displaystyle \log_{10}(30\log_{10}n) + 4n$

I feel my answer isn't complete as I'm not too sure how to further simplify what's left of the addition operator.