Answer
$1 - \log_9{x}$
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:
$\log_9{\left(\frac{9}{x}\right)}
\\= \log_9{9} - \log_9{x}$
Note that for all real numbers within its domain, $\log_a{(a^n)}=n$.
This means that $\log_9{9} =1$.
Thus,
$\log_9{9} -\log_9{x}= 1 - \log_9{x}$