E^3x - 6e^x = e^2x

e3x-6ex-e2x

#1

e^3x - 6e^x = e^2x

Answer:

Simplify this by dividing out e^x.
Then we have:
e^2x -6 = e^x
(e^x)^2 - e^x - 6 = 0
Look familiar?
y = e^x
y^2 - y -6 = 0
solve for y
input that for e^x, IF it doesn’t violate laws.
e^x = 3