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Popular >

e^{2x}-7e^x+12=0

Solution

e^{2 x} - 7 e^{x} + 12 = 0

Solution

x = 2 ln (2), x = ln (3)

+1

Solution steps

e^{2 x} - 7 e^{x} + 12 = 0

Apply exponent rules

(e^{x})^{2} - 7 e^{x} + 12 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 7 u + 12 = 0

Solve

u^{2} - 7 u + 12 = 0 : u = 4, u = 3

u = 4, u = 3

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 4 : x = 2 ln (2)

Solve

e^{x} = 3 : x = ln (3)

x = 2 ln (2), x = ln (3)

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Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-7e^x+12=0 ?
The answer to e^{2x}-7e^x+12=0 is x=2ln(2),x=ln(3)