What is (pi+2)/2 ln(pi/4) ?

The solution to (pi+2)/2 ln(pi/4) is (pi+2)/2 ln(pi)-piln(2)-2ln(2)

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simplify (pi+2)/2 ln(pi/4)

simplify

\frac{π + 2}{2} ln (\frac{π}{4})

\frac{π + 2}{2} ln (π) - π ln (2) - 2 ln (2)

Decimal Notation

- 0.62101 \dots

Solution steps

\frac{π + 2}{2} ln (\frac{π}{4})

Apply log rule:

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

ln (\frac{π}{4}) = ln (π) - ln (4)

= \frac{π + 2}{2} (ln (π) - ln (4))

ln (4) = 2 ln (2)

= \frac{π + 2}{2} (ln (π) - 2 ln (2))

Expand

\frac{π + 2}{2} (ln (π) - 2 ln (2)) : \frac{π + 2}{2} ln (π) - ln (2) (π + 2)

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

Expand

- ln (2) (π + 2) : - π ln (2) - 2 ln (2)

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

ln (3) - ln (- 1)

lo g_{e} (\frac{20000}{7165}) \cdot 12

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

231.84357 - 224.62838 - 8.314 ln (\frac{1}{5.2})

2 lo g_{10} (x) - lo g_{10} (y)

What is (pi+2)/2 ln(pi/4) ?
The solution to (pi+2)/2 ln(pi/4) is (pi+2)/2 ln(pi)-piln(2)-2ln(2)