Question

Logarithms Question: The answer in the key didnt make sense to me so explain as much as possible, please.

Key Answer: -1, n > 1

Answer 1

$Use:\\\\a^{-1}=\dfrac{1}{a}\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\------------------------\\\\Domain:n>0\ \wedge\ n\neq1\\\log_n\left(\dfrac{1}{n}\right)=\log_nn^{-1}=-1\log_nn=-1\notin Domain\\\\Answer:\ No\ solution$