Question

what does a number in front of a logarithm do? (example: 2 log(100) )

Answer 1

It means that the value is to a power that is equal to that coefficient.

So...
log(100)^2

Answer 2

rogster is absolutely right:
the law of logarithm says that :
\[n log(m) = log(m)^n\] where n is a number

Answer 3

it multiplies the value of the log ....

Answer 4

2 log(100) = 2 * 2 = 4