Question

(3/4)^6 * (16/9)^5 =(4/3)^x+2 find x

Answer 1

(3/4)^6 * (4/3)^10 = (4/3)^x +2
(4/3)^4 = (4/3)^x + 2
4 = x+2
x=4-2 = 2

Answer 2

(3/4)^6 * (16/9)^5 = (4/3)^x+2
= (3/4)^6 * ((4^2)/(3^2))^5 = (4/3)^x+2
= 3^6/4^6 *4^10/3^10 = (4/3)^x+2
= 4^4/3^4 = (4/3)^x+2
= (4/3)^4 = (4/3)^x+2

Comparing the exponents, we get:
4 = x+2
= 4-2 = x
= 2= x
Or x=2