Answer
$$1$$
Work Step by Step
$\log_{25} {30} + \log_{25}{\frac{5}{6}}$
$=\log_{25} ({30\times\frac{5}{6}})$ {Since $\log{a}+\log{b}=\log{ab}$}
$=\log_{25} {\frac{150}{6}} = \log_{25}{25} = 1$
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