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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

1.19314 \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))

- (ln (1) - ln (2)) = ln (2)

= \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)