Question

Вычислить log4(sin (п/6))

Answer 1

$log_{4}( \sin( \frac{\pi}{6} ) ) = log_{4}( \frac{1}{2} ) = \\ = \frac{1}{2} \times log_{2}( {2}^{ - 1} ) = \\ = \frac{1}{2} \times ( - 1) = - \frac{1}{2}$