What is pi(512(ln(7/2)-ln(3/2))-5993/15) ?

The solution to pi(512(ln(7/2)-ln(3/2))-5993/15) is pi(512ln(7/3)-5993/15)

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simplify pi(512(ln(7/2)-ln(3/2))-5993/15)

simplify

π (512 (ln (\frac{7}{2}) - ln (\frac{3}{2})) - \frac{5993}{15})

π (512 ln (\frac{7}{3}) - \frac{5993}{15})

Decimal Notation

107.70375 \dots

Solution steps

π (512 (ln (\frac{7}{2}) - ln (\frac{3}{2})) - \frac{5993}{15})

Apply log rule:

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

ln (\frac{7}{2}) - ln (\frac{3}{2}) = ln (\frac{\frac{7}{2}}{\frac{3}{2}})

= π (512 ln (\frac{\frac{7}{2}}{\frac{3}{2}}) - \frac{5993}{15})

\frac{\frac{7}{2}}{\frac{3}{2}} = \frac{7}{3}

= π (512 ln (\frac{7}{3}) - \frac{5993}{15})

5 lo g_{7} (a) - 2 lo g_{7}^{b} (x)

ln (1.6 \cdot π)

3 lo g_{e} (2) + 5 lo g_{e} (π) - lo g_{e} (9)

lo g_{10} (A \cdot e^{- \frac{q}{r}})

ln (4) - 2 ln (8)

What is pi(512(ln(7/2)-ln(3/2))-5993/15) ?
The solution to pi(512(ln(7/2)-ln(3/2))-5993/15) is pi(512ln(7/3)-5993/15)