What is 1/10 ln((0.267-0.017)/(0.132-0.017)) ?

The solution to 1/10 ln((0.267-0.017)/(0.132-0.017)) is (ln(0.25)-ln(0.115))/(10)

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simplify 1/10 ln((0.267-0.017)/(0.132-0.017))

simplify

\frac{1}{10} ln (\frac{0.267 - 0.017}{0.132 - 0.017})

\frac{ln ( 0.25 ) - ln ( 0.115 )}{10}

Decimal Notation

0.07765 \dots

Solution steps

\frac{1}{10} ln (\frac{0.267 - 0.017}{0.132 - 0.017})

Apply log rule:

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

ln (\frac{0.267 - 0.017}{0.132 - 0.017}) = ln (0.267 - 0.017) - ln (0.132 - 0.017)

= \frac{1}{10} (ln (0.267 - 0.017) - ln (0.132 - 0.017))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( ln ( 0.267 - 0.017 ) - ln ( 0.132 - 0.017 ) )}{10}

1 \cdot (ln (0.267 - 0.017) - ln (0.132 - 0.017)) = ln (0.25) - ln (0.115)

= \frac{ln ( 0.25 ) - ln ( 0.115 )}{10}

4 lo g_{c} (y) - \frac{14}{3} lo g_{c} (x)

ln (130) - ln (5)

\frac{1}{3} lo g_{8} (7)

ln (7) - (\frac{2}{3}) \cdot ln (2) + ln (3)

ln (4 e^{i})

What is 1/10 ln((0.267-0.017)/(0.132-0.017)) ?
The solution to 1/10 ln((0.267-0.017)/(0.132-0.017)) is (ln(0.25)-ln(0.115))/(10)