Question

Determine the value of the following
${\log }_{\frac{2}{3}}\frac{8}{27}$

Answer 1

$lo{g}_{2/3}\frac{8}{27}$

$=\frac{log8/27}{log2/3}=\frac{log(2/3{)}^3}{log2/3}$

$=3\frac{log2/3}{log2/3}$

$=3$