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Popular >

simplify ln(1/2)+1/2

Solution

simplify

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

Solution

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

+1

Decimal Notation

- 0.19314 \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)

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

Apply log rule:

lo g_{a} (1) = 0

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

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

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