Question

Solve the logarithmic equation. y=log_5_125

Answer 1

`\bf \textit{exponential form of a logarithm} \\\\ log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies log_a b=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y=log_5(125)\implies 5^y=125\implies 5^y=5^3\implies y=3`

Answer 2

y = log 5 (125)

y = log 5 (5^3)

y = 3