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Popular >

simplify ln(1/2)*1/2

Solution

simplify

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

Solution

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

+1

Decimal Notation

- 0.34657 \dots

Solution steps

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

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

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Frequently Asked Questions (FAQ)

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