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Popular >

simplify ln((sqrt(2))/2)

Solution

simplify

ln (\frac{2}{2})

Solution

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

+1

Decimal Notation

- 0.34657 \dots

Solution steps

ln (\frac{2}{2})

Apply log rule:

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

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

= ln (2) - ln (2)

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

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

Factor out common term

ln (2)

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

\frac{1}{2} - 1 = - \frac{1}{2}

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

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Frequently Asked Questions (FAQ)

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