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Popular >

e^t-e^{-t}=2

Solution

e^{t} - e^{- t} = 2

Solution

t = ln (1 + 2)

+1

Decimal Notation

t = 0.88137 \dots

Solution steps

e^{t} - e^{- t} = 2

Apply exponent rules

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

Rewrite the equation with

e^{t} = u

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

Solve

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

u = 1 + 2, u = 1 - 2

Substitute back

u = e^{t},

solve for

t

Solve

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

Solve

e^{t} = 1 - 2 :

No Solution for

t \in R

t = ln (1 + 2)

Popular Examples

4^x+2^{x+3}=128

4^{x} + 2^{x + 3} = 128

81*9^{-2b-2}=27

81 \cdot 9^{- 2 b - 2} = 27

63 = 3 3^{x}

9^6=(3^2)^{2x-2}

9^{6} = (3^{2})^{2 x - 2}

6^x=3^{2x}-2^{2x}

6^{x} = 3^{2 x} - 2^{2 x}

Frequently Asked Questions (FAQ)

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