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Popular >

5/(1+e^{-x)}=4

Solution

\frac{5}{1 + e ^{- x}} = 4

Solution

x = 2 ln (2)

+1

Decimal Notation

x = 1.38629 \dots

Solution steps

\frac{5}{1 + e ^{- x}} = 4

Multiply both sides by

1 + e^{- x}

\frac{5}{1 + e ^{- x}} (1 + e^{- x}) = 4 (1 + e^{- x})

Simplify

5 = 4 (1 + e^{- x})

Switch sides

4 (1 + e^{- x}) = 5

Divide both sides by

4

1 + e^{- x} = \frac{5}{4}

Move

1

to the right side

e^{- x} = \frac{1}{4}

Apply exponent rules

- x = ln (\frac{1}{4})

Solve

- x = ln (\frac{1}{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

8=60x-1800+(1800)/(e^{x/(30))}

8 = 60 x - 1800 + \frac{1800}{e ^{\frac{x}{30}}}

7^{x - 1} + 7 = 8

500*3^{0.0625x}=1000

500 \cdot 3^{0.0625 x} = 1000

2^{x} = \frac{1}{2 ^{4}}

sqrt(3)^{3x+4}=6^{x-5}

3^{3 x + 4} = 6^{x - 5}

Frequently Asked Questions (FAQ)

What is the answer to 5/(1+e^{-x)}=4 ?
The answer to 5/(1+e^{-x)}=4 is x=2ln(2)