Question

Find the value of log cubic root 3 base square root3

Answer 1

$log__{ \sqrt{3} }} \sqrt[3]{3} = \frac{log_3 \sqrt[3]{3} }{log_3 \sqrt{3} } = \frac{log_3 3^{1/3} }{log_3 3^{1/2}} = \frac{1/3}{1/2} = \frac{1}{3} \times \frac{2}{1} =\boxed{ \frac{2}{3} }$