Question

if
$log_{a}( \sqrt{2} ) = \: \binom{1}{6}$
find value of a​

Answer 1

$log_{a}( \sqrt{2} ) = \frac{1}{6} \\ {a}^{ \frac{1}{6} } = \sqrt{2} \\ {a}^{ \frac{1}{6} } = {2}^{ \frac{1}{2} \times \frac{3}{3} } \\ {a}^{ \frac{1}{6} } = {2}^{ \frac{3}{6} } \\ a = {2}^{3} \\ a = 8$

Answer 2

Hi mate ,yr answer is 8 . I hope it help you.mark answer as brainlist and follow me