Question

Find the value of x if 3/4^6 x 16/9^5 = 4/3^x+2

Answer 1

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

(4/3)^(-6)x[(4/3)^2]^5 = (4/3)^(x+2)

(4/3)^(-6)x(4/3)^10 = (4/3)^(x+2)

(4/3)^[(-6) + 10] = (4/3)^(x+2) 

(4/3)^4 = (4/3)^(x+2)

Hence x + 2 = 4 or x = 4 - 2 = 2

Answer 2

Answer:

x=2

Step-by-step explanation:

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

(4/3)^(-6)x[(4/3)^2]^5 = (4/3)^(x+2)

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

(4/3)^[(-6) + 10] = (4/3)^(x+2)  

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

Hence x + 2 = 4 or x = 4 - 2 = 2