What is 1/6 ln(75000/600) ?

The solution to 1/6 ln(75000/600) is 1/6 (ln(75000)-ln(600))

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simplify 1/6 ln(75000/600)

simplify

\frac{1}{6} ln (\frac{75000}{600})

\frac{1}{6} (ln (75000) - ln (600))

Decimal Notation

0.80471 \dots

Solution steps

\frac{1}{6} ln (\frac{75000}{600})

Apply log rule:

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

ln (\frac{75000}{600}) = ln (75000) - ln (600)

= \frac{1}{6} (ln (75000) - ln (600))

ln (\frac{2.63 \cdot 1 0 ^{- 30}}{2.949 \cdot 1 0 ^{- 76}})

\frac{1}{2} ln (7^{2} - 9) - \frac{1}{2} ln (5^{2} - 9)

- 500 ln (\frac{500}{1000 + 50})

- ln (2.8) + 2 ln (7.8)

\frac{1}{2} ln ∣ 2 x + 1 ∣ + 2 ln ∣ x - 1 ∣

What is 1/6 ln(75000/600) ?
The solution to 1/6 ln(75000/600) is 1/6 (ln(75000)-ln(600))