What is 1/15 ln((0.267-0.017)/(0.095-0.017)) ?

The solution to 1/15 ln((0.267-0.017)/(0.095-0.017)) is (ln(0.25)-ln(0.078))/(15)

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simplify 1/15 ln((0.267-0.017)/(0.095-0.017))

simplify

\frac{1}{15} ln (\frac{0.267 - 0.017}{0.095 - 0.017})

\frac{ln ( 0.25 ) - ln ( 0.078 )}{15}

Decimal Notation

0.07765 \dots

Solution steps

\frac{1}{15} ln (\frac{0.267 - 0.017}{0.095 - 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}{0.095 - 0.017}) = ln (0.267 - 0.017) - ln (0.095 - 0.017)

= \frac{1}{15} (ln (0.267 - 0.017) - ln (0.095 - 0.017))

Multiply fractions:

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

= \frac{1 \cdot ( ln ( 0.267 - 0.017 ) - ln ( 0.095 - 0.017 ) )}{15}

1 \cdot (ln (0.267 - 0.017) - ln (0.095 - 0.017)) = ln (0.25) - ln (0.078)

= \frac{ln ( 0.25 ) - ln ( 0.078 )}{15}

0.56 + 0.027 \cdot ln (\frac{1 0 ^{16}}{1.5 \cdot 1 0 ^{10}})

- \frac{4}{13} lo g_{2} (\frac{4}{13}) - \frac{9}{13} lo g_{2} (\frac{9}{13})

lo g_{10} (\frac{x}{z ^{5} y})

lo g_{3} (\frac{1}{( x ^{2} y 3 ^{z} )})

ln (\frac{( 6 + 0 )}{4 - 0})

What is 1/15 ln((0.267-0.017)/(0.095-0.017)) ?
The solution to 1/15 ln((0.267-0.017)/(0.095-0.017)) is (ln(0.25)-ln(0.078))/(15)