What is e^{-20}ln(1+e^{-20}) ?

The solution to e^{-20}ln(1+e^{-20}) is 1/(e^{20)}ln(1/(e^{20)}+1)

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simplify e^{-20}ln(1+e^{-20})

simplify

e^{- 20} ln (1 + e^{- 20})

\frac{1}{e ^{20}} ln (\frac{1}{e ^{20}} + 1)

Decimal Notation

0

Solution steps

e^{- 20} ln (1 + e^{- 20})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{20}} ln (e^{- 20} + 1)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{20}} ln (\frac{1}{e ^{20}} + 1)

3 ((x^{3} + c) e^{- x})

(5 + j) e^{- 3 j t}

\frac{e ^{u + a}}{e ^{2 a}}

5.41 \cdot 1 0^{- 5}

[(\frac{2}{3})^{2}]^{3}^{- 1}

What is e^{-20}ln(1+e^{-20}) ?
The solution to e^{-20}ln(1+e^{-20}) is 1/(e^{20)}ln(1/(e^{20)}+1)