Question

como resolver esse logaritmo?

Answer 1

$log_{b}(a^{n})=n*log_{b}(a)\\log_{n}(n)=1\\\\a^{x}/a^{y}=a^{x-y}$
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$log_{a}(\frac{a^{n}}{a^{m}})=log_{a}(a^{n-m})\\\\log_{a}(\frac{a^{n}}{a^{m}})=(n-m)*log_{a}(a)\\\\log_{a}(\frac{a^{n}}{a^{m}})=(n-m)*1\\\\\boxed{\boxed{log_{a}(\frac{a^{n}}{a^{m}})=n-m}}$