(C) Given the logarithmic equation: $log_{10} (xy) = 2$. By the definition of a logarithm,if $log_b (a) = c$,then $a = b^c$. Applying this to the give

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(C) Given the logarithmic equation: $log_{10} (xy) = 2$. By the definition of a logarithm,if $log_b (a) = c$,then $a = b^c$. Applying this to the given equation where the base $b = 10$,$a = xy$,and $c = 2$: $xy = 10^2$. Calculating the value: $xy = 100$.