Solve e^(2x) = 5e^(x) - 6, giving your answers in exact form

Solve e^2x = 5e^x - 6e^2x - 5e^x + 6 = 0(e^x)² - 5e^x + 6 = 0 (Let k = e^x)k² - 5k + 6 = 0(k-3)(k-2) = 0k = 3 k = 2e^x = 3 e^x = 2x = ln(3) x = ln(3)