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Popular >

simplify (-1/3)ln(2/3)

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.13515 \dots

Solution steps

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

Apply log rule:

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

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

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

Remove parentheses:

(- a) = - a

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

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Frequently Asked Questions (FAQ)

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