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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 log rule:

lo g_{a} (1) = 0

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

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

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

Remove parentheses:

(- a) = - a

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

Popular Examples

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- lo g_{10} (3.8 \cdot 1 0^{- 4})

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2 lo g_{10} (x) - 3 lo g_{10} (x y) - 4 lo g_{10} (y)

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lo g_{4} (x^{2} - 64) - 6 lo g_{4} (x + 8)

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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)