E^2x -2e^x -24=0 please answer fast

Mathematics

1 answer:

serg [7]3 years ago

3 0

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

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