213k views
3 votes
Logarithms Question: The answer in the key didnt make sense to me so explain as much as possible, please.

Key Answer: -1, n > 1

Logarithms Question: The answer in the key didnt make sense to me so explain as much-example-1
User Edisson
by
7.3k points

1 Answer

6 votes


Use:\\\\a^(-1)=(1)/(a)\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\------------------------\\\\Domain:n>0\ \wedge\ n\\eq1\\\log_n\left((1)/(n)\right)=\log_nn^(-1)=-1\log_nn=-1\\otin Domain\\\\Answer:\ No\ solution

User Robert Giesecke
by
7.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.