Question

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

Answer 1

Answer:

$x = \frac{256}{81} .$

Step-by-step explanation:

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