Question

find the value of x if-
(2/3)x(3/2)x=81/16​

Answer 1

Answer:

step by step explanation

We are provided that (2/3)^x * (3/2)^2x = 81/16

so at first let us write (2/3)^x as (3/2)^-x , to collaborate with 81/16 as 3^4/2^4

so let's do the process

or. (3/2)^-x * (3/2)^2x = 3^4/2^4

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

so as on the both side of equal sign it have the same base. Thus we can remove the base and equate only with their exponent

so.

or. -x+2x =4

by subtracting -x and 2x we get only x

so

or. x = 4

so the value of x is 4

Hope this will help you. Thank you for reading this

Answer 2

Step-by-step explanation:

answer 2.25. friends it can help you. please like my answer.