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Popular >

(60)/(1+e^{-x)}=4

Solution

\frac{60}{1 + e ^{- x}} = 4

Solution

x = - ln (14)

+1

Solution steps

\frac{60}{1 + e ^{- x}} = 4

Multiply both sides by

1 + e^{- x}

\frac{60}{1 + e ^{- x}} (1 + e^{- x}) = 4 (1 + e^{- x})

Simplify

60 = 4 (1 + e^{- x})

Switch sides

4 (1 + e^{- x}) = 60

Divide both sides by

4

1 + e^{- x} = 15

Move

1

to the right side

e^{- x} = 14

Apply exponent rules

- x = ln (14)

Solve

- x = ln (14) : x = - ln (14)

x = - ln (14)

Verify Solutions:

x = - ln (14)

True

The solution is

x = - ln (14)

Popular Examples

e^{\frac{k}{12}} = a

ln (e^{x}) = 3

2^{3 x} = 4

3(5^{2-x})=5^x+10

3 (5^{2 - x}) = 5^{x} + 10

solvefor t,p=140e^{-200t}solve for

t, p = 140 e^{- 200 t}

Frequently Asked Questions (FAQ)

What is the answer to (60)/(1+e^{-x)}=4 ?
The answer to (60)/(1+e^{-x)}=4 is x=-ln(14)