Solve 200(3/2)^(x+2) =700
200(3/2)^x+2 = 7003/2^x + 2 =700/200 = 7/2log 3/2^x + 2 = log 7/2x + 2 log 3/2 = log 7/2x+ 2 = log 7/2/log 3/2 =0.5440/0.1760= 3.0909 x = 3.0909 - 2 = 1.0909