Question

if log3 tan 60° =2^x then find the value of x​

Answer 1

tan 60° = √3

Further solving the question:

$</p><p> = = > \: \: log_{3} \sqrt{3} = {2}^{x} \\ \\ = = > \: \: log_{3}( {3}^{ \frac{1}{2} } ) = {2}^{x} \\ \\ = = > \: \: \frac{1}{2} \: \cdot \: log_{3}3 = {2}^{x} \\ \\ = = > \: \: \frac{1}{2} \times 1 = {2}^{x} \\ \\ = = > \: \: {2}^{ - 1} = {2}^{x} \\ \\ = = > \: \: x = - 1</p><p>$