Answer:
x = ln6
Step-by-step explanation:
e^2x - 2e^x - 24 = 0
a = e^x
=> a^2 - 2a - 24 = 0
=> (a + 4)(a - 6) = 0
=> a = -4 => e^x = -4 (invalid because e^x > 0)
=> a = 6 => e^x = 6 => x = ln6
