Question

what is the value of log root 3 cube to the base 3​

Answer 1

Heya,

the question simplies to

$log_{3}( \sqrt{ {3}^{3} } )$

=>

$log_{3}( {3}^{ \frac{3}{2} } ) \\ = > \frac{3}{2} log_{3}(3) \: \: \: \: \: \: \: \: \: \: \: log( {m}^{n} ) = n log(m) \\ = > \frac{3}{2} \times 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: log_{m}(m) = 1$

Hence, answer will be 3/2.

Regards

Kshitij