What is ln((10pi-3sqrt(3))/6) ?

The solution to ln((10pi-3sqrt(3))/6) is ln(10pi-3sqrt(3))-ln(6)

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simplify ln((10pi-3sqrt(3))/6)

simplify

ln (\frac{10 π - 3 3}{6})

ln (10 π - 33) - ln (6)

Decimal Notation

1.47475 \dots

Solution steps

ln (\frac{10 π - 3 3}{6})

Apply log rule:

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

ln (\frac{10 π - 3 3}{6}) = ln (10 π - 33) - ln (6)

= ln (10 π - 33) - ln (6)

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

- lo g_{10} (5.4 \cdot 1 0^{- 5})

- 8.314 \cdot ln (\frac{10}{1})

lo g_{6} (x + 2) + lo g_{6} (x) - \frac{1}{2} lo g_{6} (x + 1)

0.1 \cdot (lo g_{10} (118.4) - lo g_{10} (100.4))

What is ln((10pi-3sqrt(3))/6) ?
The solution to ln((10pi-3sqrt(3))/6) is ln(10pi-3sqrt(3))-ln(6)