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Popular >

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

Solution

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

Solution

x = - 2 ln (2)

+1

Decimal Notation

x = - 1.38629 \dots

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)

Popular Examples

125^{x+2}=625^{x+6}

12 5^{x + 2} = 62 5^{x + 6}

2^{3 x} = 8^{1 - x}

3 x + 3 = e^{x}

e^{1 - 2 x} = 4

(\frac{1}{6})^{x} = 216

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)