Question

answer the question​

Answer 1

Answer:

x = 4.....

Step-by-step explanation:

(2/3)^x = (3/2)^-x

Using this,

(3/2)^(2x - x) = 81/16

So, (3/2)^x = (3/2)^4.....

Hence, x = 4......

Hope This Helps....

Answer 2

Answer:

[(3/2) ^-x] (3/2)^2x = 3^4/ 2^4

( 3/2) ^( - x +2x) = (3/2) ^4

( 3/2) ^ x = ( 3/2) ^4

Now eliminating ( 3/2) from both sides, hence power will become equal.

x = 4