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Popular >

simplify ln(-e^{-x}x)

Solution

simplify

ln (- e^{- x} x)

Solution

- x + ln (x)

Solution steps

ln (- e^{- x} x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (- e^{- x} x) = ln (e^{- x}) + ln (x)

= ln (e^{- x}) + ln (x)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{- x}) = - x ln (e)

= - x ln (e) + ln (x)

x ln (e) = x

= - x + ln (x)

Popular Examples

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simplify 0.27+5-5log_{10}(4.84x10^{-6})simplify

0.27 + 5 - 5 lo g_{10} (4.84 x 1 0^{- 6})

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\frac{1}{100} ln (\frac{87.14}{101.3})

simplify 20log_{10}(0.25)+20log_{10}(5.8)+92.45 simplify

20 lo g_{10} (0.25) + 20 lo g_{10} (5.8) + 92.45

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ln (\frac{x ^{x}}{x ^{2} - 1})

Frequently Asked Questions (FAQ)

What is ln(-e^{-x}x) ?
The solution to ln(-e^{-x}x) is -x+ln(x)