Properties of Logarithms How do you simplify the following expression? $$\log\left(3^{(5^7)}\right)$$ I know that logarithms are like the inverse of exponents, but are there any tricks to simplify powers inside logarithms?
Edit: There are five answer choices:

(A) $7\log(3^5)$
(B) $35\log(3)$
(C) $7(\log(3))(\log(5))$
(D) $7(\log(3)+\log(5))$
(E) $5^7\log(3)$


$\log 3^{(5^7)}=5^7\log 3$ 
The power on the inside become multiplication on the outside, and becomes the simplest form (unless you want to turn $5^7$ into a single long number instead of that power)
