Answer
$1 - \log_7{x}$
Work Step by Step
RECALL:
The quotient rule for logarithms states:
$\log_a{\left(\frac{b}{c}\right)} = \log_a{b} - \log_a{c}$
Use the quotient rule to obtain:
$\log_7{\left(\frac{7}{x}\right)}
\\= \log_7{7} - \log_7{x}$
Note that for all real numbers within its domain, $\log_a{a^n}=n$.
This means that $\log_7{7} =1$.
Thus,
$\log_7{7} -\log{x}= 1 - \log_7{x}$
