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Popular >

e^e-12e^{-x}-1=0

Solution

e^{e} - 12 e^{- x} - 1 = 0

Solution

x = - ln (\frac{e ^{e} - 1}{12})

+1

Decimal Notation

x = - 0.16510 \dots

Solution steps

e^{e} - 12 e^{- x} - 1 = 0

Move

e^{e}

to the right side

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

Move

1

to the right side

- 12 e^{- x} = - e^{e} + 1

Divide both sides by

- 12

e^{- x} = - \frac{- e ^{e} + 1}{12}

Apply exponent rules

- x = ln (- \frac{- e ^{e} + 1}{12})

Solve

- x = ln (- \frac{- e ^{e} + 1}{12}) : x = - ln (\frac{e ^{e} - 1}{12})

x = - ln (\frac{e ^{e} - 1}{12})

Popular Examples

5 = 10 (0.8)^{x}

2 7^{x} = 9^{x - 4}

5. 3^{x} + 2. 3^{3} = 63

4e^{2x}=81-5e^{2x}

4 e^{2 x} = 81 - 5 e^{2 x}

210 = 3^{x} - 43

Frequently Asked Questions (FAQ)

What is the answer to e^e-12e^{-x}-1=0 ?
The answer to e^e-12e^{-x}-1=0 is x=-ln((e^e-1)/(12))