Answer
200
Work Step by Step
$\ln (\ln e^{e^{200}})$
e stands for Euler's number
Apply the Third Law of Logarithms inside the parenthesis
$\ln(e^{200}\times\ln e)$
$\ln(e^{200}\times1)$ ($\ln e$ = 1)
$\ln e^{200}$
Apply the Third Law of Logarithms again
200$\times\ln e$
200$\times$1
=200
