Question

Simplify each expression:
12^log base 12 of 144

Answer 1

The answer is 144

$12^{log_{12}(144) } \\ \\ log_b(x) = y \\ b^{y} =x \\ log_{12}(144)=y \\ 12^{y}=144 \\ 12^{y}=12^{2} \\ y =2 \\ \\ log_{12}(144)=2 \\ \\ 12^{log_{12}(144) } = 12^{2} =144$