Answer
200
Work Step by Step
$\log_4 16^{100}$
Use the Third Law of Logarithms
100$\log_4 16$
100$\log_4 4^2$
Use the Third Law of Logarithms again
100$\times$2$\log_4 4$
100$\times$2$\times$1 (since $\log_x x$ = 1)
=200
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