Find all the values of 'a' for which the following equalities hold true

Question

Find all the values of 'a' for which the following equalities hold true

log 1 to the base a=0

Answer 1

\(log_a1= 0\)

It is true for all value of \(a\in(0, \infty) - \{1\}\) or \(a\in(0,1) \cup (1, \infty).\)