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Popular >

simplify ln(e*ln(1/e))

Solution

simplify

ln (e \cdot ln (\frac{1}{e}))

Solution

1 + ln (- 1)

Solution steps

ln (e ln (\frac{1}{e}))

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

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

Simplify

ln (\frac{1}{e}) : - 1

= 1 + ln (- 1)

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Frequently Asked Questions (FAQ)

What is ln(e*ln(1/e)) ?
The solution to ln(e*ln(1/e)) is 1+ln(-1)