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Popular >

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

Solution

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

Solution

x = ln (1 + 2)

+1

Decimal Notation

x = 0.88137 \dots

Solution steps

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

Apply exponent rules

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

Rewrite the equation with

e^{x} = u

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

Solve

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

u = 1 + 2, u = 1 - 2

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 1 + 2 : x = ln (1 + 2)

Solve

e^{x} = 1 - 2 :

No Solution for

x \in R

x = ln (1 + 2)

Popular Examples

1 6^{x} = 8^{2 x + 3}

log_{10}(43)=4.2^x

lo g_{10} (43) = 4. 2^{x}

2^{x} - 2^{2 - x} = 0

e^{- 8 n - 9} = 36.5

16^{(-r-1)}= 1/4

1 6^{(- r - 1)} = \frac{1}{4}

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}-2e^x=1 ?
The answer to e^{2x}-2e^x=1 is x=ln(1+sqrt(2))