Question

Solve [√4/√3]^x+1 = 81/256

Answer 1

(√4/√3)^(x+1) = (81/256)
1÷((√4/√3)^(x+1))= 1÷(81/256)
(√4/√3)^-(x+1)= (256/81)

(√4)^2 =4
4^4 =256
So,
(√4)^8= 256
Similarly,
(√3)^8= 81

So (√4/√3)^8 = 256/81

Therefore -(x+1) = 8
x+1 = -8
x= -8 -1
= -9