What is 1/5 ln((0.267-0.017)/(0.095-0.017)) ?

The solution to 1/5 ln((0.267-0.017)/(0.095-0.017)) is (ln(0.25)-ln(0.078))/5

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simplify 1/5 ln((0.267-0.017)/(0.095-0.017))

simplify

\frac{1}{5} ln (\frac{0.267 - 0.017}{0.095 - 0.017})

\frac{ln ( 0.25 ) - ln ( 0.078 )}{5}

Decimal Notation

0.23295 \dots

Solution steps

\frac{1}{5} 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}{5} (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 ) )}{5}

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 )}{5}

ln (l e^{- l x})

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

ln (\frac{5}{610.0 4 ^{2}})

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

ln (1.243) - ln (1.242) - 0.275

What is 1/5 ln((0.267-0.017)/(0.095-0.017)) ?
The solution to 1/5 ln((0.267-0.017)/(0.095-0.017)) is (ln(0.25)-ln(0.078))/5