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Popular >

e^x+3e^{-x}=4

Solution

e^{x} + 3 e^{- x} = 4

Solution

x = ln (3), x = 0

+1

Decimal Notation

x = 1.09861 \dots, x = 0

Solution steps

e^{x} + 3 e^{- x} = 4

Apply exponent rules

e^{x} + 3 (e^{x})^{- 1} = 4

Rewrite the equation with

e^{x} = u

u + 3 (u)^{- 1} = 4

Solve

u + 3 u^{- 1} = 4 : u = 3, u = 1

u = 3, u = 1

Substitute back

u = e^{x},

solve for

x

Solve

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

Solve

e^{x} = 1 : x = 0

x = ln (3), x = 0

Popular Examples

4^{x+1}=16^{x-7}

4^{x + 1} = 1 6^{x - 7}

1000 = 21 (1.2)^{t}

4^{x} = 32

5^{-3}*x+5=0.04^x-3

5^{- 3} \cdot x + 5 = 0.0 4^{x} - 3

2^x*0.2^5=2^{10}

2^{x} \cdot 0. 2^{5} = 2^{10}

Frequently Asked Questions (FAQ)

What is the answer to e^x+3e^{-x}=4 ?
The answer to e^x+3e^{-x}=4 is x=ln(3),x=0