Question

ifif 2 upon 3 ki power x. 3 upon 2 ki power 2 x is equal to 81 upon 16 then find the value of x ​

Answer 1

Given: The expression (2/3)^x . (3/2)^2x = 81/16

To find: The value of x.

Solution:

• Now we have given :

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

• Now we know that x^m = 1 / x^-m

• Applying this, we get:

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

• Now we know that x^m . x^n = x^(m+n)

• Applying this, we get:

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

                  (2/3)^-x = 81/16

                  (3/2)^x = (3/2)^4

• Now equation powers we get:

                  x = 4

Answer:

                 So the value of x is 4.