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Popular >

e^{2x}-2e^x+1=0

Solution

e^{2 x} - 2 e^{x} + 1 = 0

Solution

x = 0

Solution steps

e^{2 x} - 2 e^{x} + 1 = 0

Apply exponent rules

(e^{x})^{2} - 2 e^{x} + 1 = 0

Rewrite the equation with

e^{x} = u

(u)^{2} - 2 u + 1 = 0

Solve

u^{2} - 2 u + 1 = 0 : u = 1

u = 1

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 1 : x = 0

x = 0

Popular Examples

5^{x+1}+5^x+5^{x-1}=775

5^{x + 1} + 5^{x} + 5^{x - 1} = 775

e^{2 x} = 3

8^{x} = 2

solvefor t,A=Pe^{rt}solve for

t, A = P e^{r t}

7^{x} = 3^{x}

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-2e^x+1=0 ?
The answer to e^{2x}-2e^x+1=0 is x=0