What is 1/3 ln((47)/(56.37)) ?

The solution to 1/3 ln((47)/(56.37)) is 1/3 (ln(47)-ln(56.37))

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simplify 1/3 ln((47)/(56.37))

simplify

\frac{1}{3} ln (\frac{47}{56.37})

\frac{1}{3} (ln (47) - ln (56.37))

Decimal Notation

- 0.06059 \dots

Solution steps

\frac{1}{3} ln (\frac{47}{56.37})

Apply log rule:

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

ln (\frac{47}{56.37}) = ln (47) - ln (56.37)

= \frac{1}{3} (ln (47) - ln (56.37))

ln (3 e^{- 3 x})

\frac{2}{3} ln ((e^{2} + 1) (e + 1) (e - 1) (e^{8} + e^{4} + 1))

lo g_{\frac{35}{18}} (200) - lo g_{\frac{35}{18}} (4.1)

lo g_{10} (\frac{z}{y ^{7}})

25 ln (\frac{20}{600})

What is 1/3 ln((47)/(56.37)) ?
The solution to 1/3 ln((47)/(56.37)) is 1/3 (ln(47)-ln(56.37))