What is simplify-1/30 ln(8/15) ?

The solution to simplify-1/30 ln(8/15) is -1/30 (3ln(2)-ln(15))

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simplify-1/30 ln(8/15)

simplify

- \frac{1}{30} ln (\frac{8}{15})

- \frac{1}{30} (3 ln (2) - ln (15))

Solution steps

- \frac{1}{30} ln (\frac{8}{15})

Apply log rule:

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

ln (\frac{8}{15}) = ln (8) - ln (15)

= - \frac{1}{30} (ln (8) - ln (15))

ln (8) = 3 ln (2)

= - \frac{1}{30} (3 ln (2) - ln (15))

ln (\frac{( e ^{2.8214} + 1 )}{2})

lo g_{10} (1 0^{- 6} \cdot 20)

3 ln (2) - 3 ln (2 + 1)

ln (\frac{a ^{2}}{b ^{- 3} c ^{2}})

ln (\frac{10000}{8600})

What is simplify-1/30 ln(8/15) ?
The solution to simplify-1/30 ln(8/15) is -1/30 (3ln(2)-ln(15))