What is 1/5 ln((170-75)/(115)) ?

The solution to 1/5 ln((170-75)/(115)) is (ln(95)-ln(115))/5

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simplify 1/5 ln((170-75)/(115))

simplify

\frac{1}{5} ln (\frac{170 - 75}{115})

\frac{ln ( 95 ) - ln ( 115 )}{5}

Decimal Notation

- 0.03821 \dots

Solution steps

\frac{1}{5} ln (\frac{170 - 75}{115})

Apply log rule:

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

ln (\frac{170 - 75}{115}) = ln (170 - 75) - ln (115)

= \frac{1}{5} (ln (170 - 75) - ln (115))

Multiply fractions:

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

= \frac{1 \cdot ( ln ( 170 - 75 ) - ln ( 115 ) )}{5}

1 \cdot (ln (170 - 75) - ln (115)) = ln (95) - ln (115)

= \frac{ln ( 95 ) - ln ( 115 )}{5}

- lo g_{10} (8.45 \cdot 1 0^{- 6})

\frac{9}{14} \cdot lo g_{2} (\frac{9}{14}) + \frac{5}{14} \cdot lo g_{2} (\frac{5}{14})

lo g_{e} (a^{n} \cdot e^{- ab})

lo g_{2} (\frac{5 x}{4 y})

4 lo g_{e} (\frac{3}{3})

What is 1/5 ln((170-75)/(115)) ?
The solution to 1/5 ln((170-75)/(115)) is (ln(95)-ln(115))/5