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Popular >

14(2+e^{-x})^{-1}=3

Solution

14 (2 + e^{- x})^{- 1} = 3

Solution

x = - ln (\frac{8}{3})

+1

Decimal Notation

x = - 0.98082 \dots

Solution steps

14 (2 + e^{- x})^{- 1} = 3

Rewrite the equation with

e^{- x} = u

14 (2 + u)^{- 1} = 3

Solve

14 (2 + u)^{- 1} = 3 : u = \frac{8}{3}

u = \frac{8}{3}

Substitute back

u = e^{- x},

solve for

x

Solve

e^{- x} = \frac{8}{3} : x = - ln (\frac{8}{3})

x = - ln (\frac{8}{3})

Popular Examples

5(5^{2x})-26(5^x)+5=0

5 (5^{2 x}) - 26 (5^{x}) + 5 = 0

\frac{13}{2 + e ^{x}} = 4

7^{6 x + 7} = 3

6^{x} - 28 = - 8

1500=159+28e^{0.02t}

1500 = 159 + 28 e^{0.02 t}

Frequently Asked Questions (FAQ)

What is the answer to 14(2+e^{-x})^{-1}=3 ?
The answer to 14(2+e^{-x})^{-1}=3 is x=-ln(8/3)