What is ln(1/((sqrt(2))/2)) ?

The solution to ln(1/((sqrt(2))/2)) is 1/2 ln(2)

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simplify ln(1/((sqrt(2))/2))

simplify

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

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

Decimal Notation

0.34657 \dots

Solution steps

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

Apply log rule:

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

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

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

ln (1) = 0

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

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

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

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

lo g_{7} ((x y^{5})^{2})

ln (\frac{800 - 1200}{300 - 1200})

0.77 + \frac{8.134 \cdot 298}{1 \cdot 96500} \cdot ln (\frac{1}{2})

(ln (2) + ln (3)) \frac{π}{8}

ln (\frac{x ^{7}}{x ^{2} - 16})