Question

2 upon 3 raise to the power x multiply by 3 upon 2 raise to the power 2x equals to 81 upon 16 ​

Answer 1

(2/3)^x (3/2)^²x = 81/16

So,

(2/3)^x (3/2)^²x =3⁴/3⁴

2^x/3^x 3^²x/2^²x = 3⁴/2⁴

3^²x-x/2^²x-x=3⁴/2⁴

3^x/2^x=3⁴/2⁴

We get x=4