What is the value of x (description)

Question

2 ^{x + 1} = 3 ^{x - 4}

Answer 1

(x + 1) ln 2 = (x - 4) ln 3

x ln 2 + ln 2 = x ln 3 - 4 ln 3

x ln 2 - x ln 3 = -ln 2 - 4 ln3

x(ln 2 - ln 3) = -ln 2 - 4 ln 3

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