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Popular >

e^x+2e^{-x}=3

Solution

e^{x} + 2 e^{- x} = 3

Solution

x = ln (2), x = 0

+1

Solution steps

e^{x} + 2 e^{- x} = 3

Apply exponent rules

e^{x} + 2 (e^{x})^{- 1} = 3

Rewrite the equation with

e^{x} = u

u + 2 (u)^{- 1} = 3

Solve

u + 2 u^{- 1} = 3 : u = 2, u = 1

u = 2, u = 1

Substitute back

u = e^{x},

solve for

x

Solve

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

Solve

e^{x} = 1 : x = 0

x = ln (2), x = 0

Popular Examples

1 = e^{x}

2^{2x}-5*2^x+4=0

2^{2 x} - 5 \cdot 2^{x} + 4 = 0

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

(\frac{1}{2})^{x} = 8

3 e^{2 x} + 2 e^{x} = 1

Frequently Asked Questions (FAQ)

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