Question

Evaluate each.

(a) $6^{{\log }_{6}17}$

(b)${\log }_9{9}^{-3}$

Short answer

Part (a) Answer is$17$

Part (b) Answer is$-3$

Step-by-step solution

Part (a) Step 1. Calculation

Use property $a^{{\log }_{a}x}=x$

$6^{{\log }_{6}17}=17$

Part (b) Step 2. Calculation

Use property ${\log }_a{a}^x=x$

${\log }_9{9}^{-3}=-3$