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Popular >

simplify (-1)/2 ln(1/2)

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.34657 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply the fraction rule:

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

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

Apply log rule:

lo g_{a} (1) = 0

= - \frac{1}{2} (- ln (2) + 0)

0 - ln (2) = - ln (2)

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

Apply rule

- (- a) = a

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

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Frequently Asked Questions (FAQ)

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