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Popular >

(10)/(1+e^{-x)}=2

Solution

\frac{10}{1 + e ^{- x}} = 2

Solution

x = - 2 ln (2)

+1

Solution steps

\frac{10}{1 + e ^{- x}} = 2

Multiply both sides by

1 + e^{- x}

\frac{10}{1 + e ^{- x}} (1 + e^{- x}) = 2 (1 + e^{- x})

Simplify

10 = 2 (1 + e^{- x})

Switch sides

2 (1 + e^{- x}) = 10

Divide both sides by

2

1 + e^{- x} = 5

Move

1

to the right side

e^{- x} = 4

Apply exponent rules

- x = ln (4)

Solve

- x = ln (4) : x = - 2 ln (2)

x = - 2 ln (2)

Verify Solutions:

x = - 2 ln (2)

True

The solution is

x = - 2 ln (2)

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Frequently Asked Questions (FAQ)

What is the answer to (10)/(1+e^{-x)}=2 ?
The answer to (10)/(1+e^{-x)}=2 is x=-2ln(2)