Question 346358
I think you mean e^x = 3^(x+2) [ e^x = 3^x + 2 has no solutions, 
because e^x < 3^x for all x... ]
take ln of left and right side

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