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Popular >

simplify 1/3 ln(80/100)

Solution

simplify

\frac{1}{3} ln (\frac{80}{100})

Solution

\frac{1}{3} (ln (80) - 2 ln (10))

+1

Decimal Notation

- 0.07438 \dots

Solution steps

\frac{1}{3} ln (\frac{80}{100})

Apply log rule:

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

ln (\frac{80}{100}) = ln (80) - ln (100)

= \frac{1}{3} (ln (80) - ln (100))

ln (100) = 2 ln (10)

= \frac{1}{3} (ln (80) - 2 ln (10))

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Frequently Asked Questions (FAQ)

What is 1/3 ln(80/100) ?
The solution to 1/3 ln(80/100) is 1/3 (ln(80)-2ln(10))