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Popular >

simplify-1/20 ln(1/20)

Solution

simplify

- \frac{1}{20} ln (\frac{1}{20})

Solution

\frac{1}{20} ln (20)

+1

Decimal Notation

0.14978 \dots

Solution steps

- \frac{1}{20} ln (\frac{1}{20})

Apply log rule:

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

ln (\frac{1}{20}) = ln (1) - ln (20)

= - \frac{1}{20} (ln (1) - ln (20))

Apply log rule:

lo g_{a} (1) = 0

= - \frac{1}{20} (- ln (20) + 0)

0 - ln (20) = - ln (20)

= - \frac{1}{20} (- ln (20))

Apply rule

- (- a) = a

= \frac{1}{20} ln (20)

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Frequently Asked Questions (FAQ)

What is simplify-1/20 ln(1/20) ?
The solution to simplify-1/20 ln(1/20) is 1/20 ln(20)