2 power4x-1= 3 power1-x

2^(x-1) = 3^(1-x) ?????

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

x log 2 - log 2 = log 3 - x log 3

x (log 2 + log 3) = log 3 - log 2

x = (log 3 - log 2)/(log 3 + log 2)

you could look those up