Answer
$z=\displaystyle \frac{4}{3}$
Work Step by Step
$z=\log_{8}(16)\ \ $ means $\ \ 8^{z}=16$
$(2^{3})^{z}=2^{4}$
$2^{3z}=2^{4}$
$3z=4$
$z=\displaystyle \frac{4}{3}$
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