Answer
$\log_{7}{200}=y$
Work Step by Step
RECALL:
$b^y=x \longleftrightarrow \log_b{x} =y .$
Use the definition above to obtain
$7^{y} = 200 \longrightarrow \log_{7}{200}=y.$
Thus, the equivalent logarithmic form of the given expression is
$\log_{7}{200}=y.$