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Popular >

simplify ln(1/(2e))

Solution

simplify

ln (\frac{1}{2 e})

Solution

- (ln (2) + 1)

+1

Decimal

- 1.69314 \dots

Solution steps

ln (\frac{1}{2 e})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1}{2 e}) = ln (1) - ln (2 e)

= ln (1) - ln (2 e)

Apply log rule:

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

ln (2 e) = ln (2) + ln (e)

= ln (1) - (ln (2) + ln (e))

Apply log rule:

lo g_{a} (1) = 0

= 0 - (ln (2) + ln (e))

Apply log rule:

lo g_{a} (a) = 1

= 0 - (ln (2) + 1)

0 - (ln (2) + 1) = - (ln (2) + 1)

= - (ln (2) + 1)

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Frequently Asked Questions (FAQ)

What is ln(1/(2e)) ?
The solution to ln(1/(2e)) is -(ln(2)+1)