Question

What is ?e^2x-5e^x=6

Answer 1

Explanation:

Let e^x = y

y^2 - 5y = 6 Subtract 6 from both sides

y^2 - 5y - 6 = 0 Factor

(y - 6)(y + 1) = 0

y - 6 = 0

y = 6

e^x = 6

ln e^x = ln 6

x * ln (e) = ln(6) ln(e) = 1

x = ln(6)

x = 1.79176

y + 1 = 0

e^x = - 1 Can't be done. No power will give - 1

y = - 1