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Popular >

simplify-1/40 ln(1/10)

Solution

simplify

- \frac{1}{40} ln (\frac{1}{10})

Solution

\frac{1}{40} ln (10)

+1

Decimal Notation

0.05756 \dots

Solution steps

- \frac{1}{40} ln (\frac{1}{10})

Apply log rule:

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

ln (\frac{1}{10}) = ln (1) - ln (10)

= - \frac{1}{40} (ln (1) - ln (10))

Apply log rule:

lo g_{a} (1) = 0

= - \frac{1}{40} (- ln (10) + 0)

0 - ln (10) = - ln (10)

= - \frac{1}{40} (- ln (10))

Apply rule

- (- a) = a

= \frac{1}{40} ln (10)

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Frequently Asked Questions (FAQ)

What is simplify-1/40 ln(1/10) ?
The solution to simplify-1/40 ln(1/10) is 1/40 ln(10)