Question

Resolva a equação exponencial a seguir:

(√2)^3x-1 = (^3√16)^2x-1

Answer 1

(√2)^3x-1 = (^3√16)^2x-1

2 ^ (3x-1)/2 = ³√2^4(2x-1)

2 ^ (3x-1)/2 = 2 ^ 4(2x-1)/3

(3x-1)/2 = 4(2x-1)/3

8(2x-1) = 3(3x-1)

16x-8 = 9x-3

7x=5

x = 5/7