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# Given that $\log _a 2=0.301, \log _a 5=0.699$, and $\log _a 6=0.778$, find each of the following.$\log _a \frac{1}{5}$

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For this problem, we will evaluate the given expression where $\log_a2=0.301$, $\log_a5=0.699$, and $\log_a6=0.778$. In order to do this, we will use the three properties of logarithmic functions which is the product rule, power rule, and quotient rule.

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