Solve the exponential equation Express you solutions in exact form only Please show your work

Question

e^2x - 9e^x - 20 = 2

Answer 1

(e^x)^2 - 9e^x - 22 = 0
let y = e^x
y^2 - 9x - 22 = 0
(y-11)(y+2) = 0
y = 11 or y = -2
e^x = 11
x = ln 11

or

e^x = -2, no solution ( x = ln(-2) which is undefined)

Answer 2

Thank u!