What is simplify-1/pi ln((sqrt(6))/2) ?

The solution to simplify-1/pi ln((sqrt(6))/2) is -1/pi (1/2 ln(6)-ln(2))

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simplify-1/pi ln((sqrt(6))/2)

simplify

- \frac{1}{π} ln (\frac{6}{2})

- \frac{1}{π} (\frac{1}{2} ln (6) - ln (2))

Decimal Notation

- 0.06453 \dots

Solution steps

- \frac{1}{π} ln (\frac{6}{2})

Apply log rule:

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

ln (\frac{6}{2}) = ln (6) - ln (2)

= - \frac{1}{π} (ln (6) - ln (2))

ln (6) = \frac{1}{2} ln (6)

= - \frac{1}{π} (\frac{1}{2} ln (6) - ln (2))

ln (\frac{3}{- 1})

0.15 \cdot lo g_{10} (1.31) + 0.65 \cdot lo g_{10} (\frac{45.57 + 176}{60})

lo g_{e} (\frac{x}{e})

ln x^{2} + 4 - 2 ln (2)

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

What is simplify-1/pi ln((sqrt(6))/2) ?
The solution to simplify-1/pi ln((sqrt(6))/2) is -1/pi (1/2 ln(6)-ln(2))