Question

Solve the logarithmic equation.
y = log4 0.25

What does y equal?

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_4(0.25) ~\hfill 0.\underline{25}\implies \cfrac{025}{1\underline{00}}\implies \cfrac{1}{4}\implies 4^(-1) \\\\\\ y=\log_4\left( 4^(-1) \right)\implies 4^y=4^(-1)\implies y=-1`