Question

If log x (9/16) =-1/2 then x is equal to

Answer 1

Step-by-step explanation:

$log_{x}( \frac{9}{16} ) = \frac{ - 1}{2} \\ {x}^{ \frac{ - 1}{2} } = \frac{9}{16} \\ \frac{1}{ {x}^{ \frac{ 1}{2} } } = \frac{9}{16} \\ \frac{1}{x} = \frac{81}{256} \\ x = \frac{256}{81}$