4^x-3^(x-1/2)=3^(x+1/2)-2^(2x-1)
4^x - 3^x * 3^-1/2 = 3^x * 3^1/2 - 2^2x * 2^-1
2^2x + 2^2x * 1/2 = 3^x * 3^1/2 + 3^x * 3^-1/2
2^2x(1 + 1/2) = 3*x( 3^1/2 + 3^-1/2)
3/2 * 2^2x = 2.3094 * 3^x
ln 1.5 + 2x ln 2 = ln 2.3094 + x ln 3
2x ln 2 - x ln3 = ln 2,3094 - ln 1.5
1.3863 x - 1.0986 x = 0.4315
0.2877x = 0.4315
x = 1.5 Answer
