Question

if (2/3)^x (3/2)^2x =81/16 then x=?​
a) 2
b) 4

Answer 1

Step-by-step explanation:

$( \frac{2}{3} ) {}^{x} \times ( \frac{3}{2} ) {}^{2x} = \frac{81}{16}$

$( \frac{2}{3} ) {}^{x} \times ( \frac{2}{3} ) {}^{ - 2x} = ( \frac{2}{3} ) {}^{ - 4}$

$( \frac{2}{3} ) {}^{ - x} = ( \frac{2}{3} ) {}^{ - 4}$

$- x = - 4$

$x = 4$