I need to answer the following question. (I'd seen it done for the other two laws, but they are different than this one, so I have no idea where to start...)
"Recall that we've defined the natural logarithm by :
ln (x) = the integral from 1 to x of (1/t) dt
Using this definition (and substitution), show that the natural logarithm satisfies the Third Law of Logarithms."
[ln(x^r)] = [r (ln(x))]
Any help would be appreciated.