Question

can you show the steps also​

Answer 1

Answer:

$\displaystyle \: log_{x}( \frac{4}{9} ) = \frac{1}{2}$

$\displaystyle\frac{4}{9} = x {}^{ \frac{1}{2} }$

$\displaystyle( \frac{4}{9} )^{2} = ( x {}^{ \frac{1}{2} } )^{2}$

$\displaystyle \frac{16}{81} = x$

$\displaystyle \: x = \frac{16}{81}$