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Popular >

e^{2x}-9e^x+8=0

Solution

e^{2 x} - 9 e^{x} + 8 = 0

Solution

x = 3 ln (2), x = 0

+1

Decimal Notation

x = 2.07944 \dots, x = 0

Solution steps

e^{2 x} - 9 e^{x} + 8 = 0

Apply exponent rules

(e^{x})^{2} - 9 e^{x} + 8 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 9 u + 8 = 0

Solve

u^{2} - 9 u + 8 = 0 : u = 8, u = 1

u = 8, u = 1

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 8 : x = 3 ln (2)

Solve

e^{x} = 1 : x = 0

x = 3 ln (2), x = 0

Popular Examples

e^{x} = x e^{x}

e^{x} = 11

e^{x} = 34

5^{- x} = \frac{1}{125}

2^{x} = 5^{x - 1}

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-9e^x+8=0 ?
The answer to e^{2x}-9e^x+8=0 is x=3ln(2),x=0