Question

Log√243to the base3 evaluate

Answer 1

$log_{3}\sqrt{243} \\ = \frac{1}{2} \times log_{3}(243)$

$= \frac{1}{2} \times log_{3}( {3}^{5} ) \\ = \frac{1}{2} \times 5 \times log_{3}(3) \\ = 2.5$