Question

value of
$log_{ \frac{2}{3} }(\frac{27}{8} )$
​

Answer 1

Answer:

-3

Step-by-step explanation:

$\implies$ $log_{\frac{2}{3}}(\frac{27}{8})=x$

$\implies$ $\Large(\frac{2}{3})^{x}=(\frac{3^{3}}{2^{3}})$

$\implies$ $\Large(\frac{2}{3})^{x}=(\frac{2}{3})^{-3}$

$\implies$ $\large\boxed{x= -3}$

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