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Question
rewrite $7^x = 13$ in logarithmic form.$log _{7}x = 13$$log _{13}x = 7$$log _{7}13 = x$$log _{x}7 = 13$
Step1: Recall exponential-logarithm conversion
For $b^y = a$, $\log_b a = y$
Step2: Match given equation to formula
Given $7^x = 13$, here $b=7$, $y=x$, $a=13$
Step3: Substitute into logarithmic form
$\log_7 13 = x$
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C. $\log_7 13 = x$