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Popular >

(40)/(1+e^{-x)}=2

Solution

\frac{40}{1 + e ^{- x}} = 2

Solution

x = - ln (19)

+1

Decimal Notation

x = - 2.94443 \dots

Solution steps

\frac{40}{1 + e ^{- x}} = 2

Multiply both sides by

1 + e^{- x}

\frac{40}{1 + e ^{- x}} (1 + e^{- x}) = 2 (1 + e^{- x})

Simplify

40 = 2 (1 + e^{- x})

Switch sides

2 (1 + e^{- x}) = 40

Divide both sides by

2

1 + e^{- x} = 20

Move

1

to the right side

e^{- x} = 19

Apply exponent rules

- x = ln (19)

Solve

- x = ln (19) : x = - ln (19)

x = - ln (19)

Verify Solutions:

x = - ln (19)

True

The solution is

x = - ln (19)

Popular Examples

e^x-2e^{-x}-1=0

e^{x} - 2 e^{- x} - 1 = 0

1 1^{x - 8} - 11 = 48

2 = e^{5 x}

1 0^{x} = 5 \cdot 1 0^{- x}

- 6 + 10 e^{- 2 x} = 9

Frequently Asked Questions (FAQ)

What is the answer to (40)/(1+e^{-x)}=2 ?
The answer to (40)/(1+e^{-x)}=2 is x=-ln(19)