Question

(2/3)^x (3/2)^2x= 81/16, thenx =

Answer 1

Answer:

x = 4

I will tell you how it came.

Step-by-step explanation:

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

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

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

Comparing on both sides,

$x - 2x = - 4$

$- x = - 4$

$x = 4$

If you like the process please comment.