What is simplify-1/9 ln((e^{-18}-1)/(-18)) ?

The solution to simplify-1/9 ln((e^{-18}-1)/(-18)) is -1/9 (ln(1/(e^{18)}-1)-ln(-18))

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simplify-1/9 ln((e^{-18}-1)/(-18))

simplify

- \frac{1}{9} ln (\frac{e ^{- 18} - 1}{- 18})

- \frac{1}{9} (ln (\frac{1}{e ^{18}} - 1) - ln (- 18))

Solution steps

- \frac{1}{9} ln (\frac{e ^{- 18} - 1}{- 18})

Apply log rule:

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

ln (\frac{e ^{- 18} - 1}{- 18}) = ln (e^{- 18} - 1) - ln (- 18)

= - \frac{1}{9} (ln (e^{- 18} - 1) - ln (- 18))

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= - \frac{1}{9} (ln (\frac{1}{e ^{18}} - 1) - ln (- 18))

lo g_{e} (\frac{3 x - 1}{2 x + 2})

6 (ln (3) - ln (2)) + 3

2 lo g_{c} (w) - \frac{1}{2} lo g_{c} (z) + 7 lo g_{c} (x)

ln ((\frac{3 y ^{3} - 3}{x ^{3}})^{- \frac{2}{9}}) - ln (x)

lo g_{10} (\frac{4}{5 x})

What is simplify-1/9 ln((e^{-18}-1)/(-18)) ?
The solution to simplify-1/9 ln((e^{-18}-1)/(-18)) is -1/9 (ln(1/(e^{18)}-1)-ln(-18))