Question

(2/3)^x=(3/2)^-5 then find the 5x

Answer 1

$(\frac{2}{3}) {}^{x} = ( \frac{3}{2}) {}^{ - 5} \\ ( \frac{2}{3}) {}^{x} = ( \frac{2}{3} ) {}^{5} \\ when \: bases \: are \: same \: we \: equate \: powers \: so \\ \: x = 5$
$5x = 5 \times 5 = 25$

Answer 2

(2/3)^x = (3/2)^-5
(2/3)^x = (2/3)^5
X= 5 ( ans .5)