13^(5x - 1)· 17^(2x - 2) = 13^(3x + 1) 13^(5x - 1)· 17^(2x - 2): 13^(3x + 1) = 1 13^(5x - 1 -3x - 1)· 17^(2x - 2) = 1 13^(2x - 2)· 17^(2x - 2) = 1 (13·17)^(2x - 2) = 1 (13·17)^(2x - 2) = (13·17)^0 2x - 2 = 0 2x =2 x = 1