What is log_{10}((-1)/(x-1)) ?

The solution to log_{10}((-1)/(x-1)) is log_{10}(-1)-log_{10}(x-1)

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simplify log_{10}((-1)/(x-1))

simplify

lo g_{10} (\frac{- 1}{x - 1})

lo g_{10} (- 1) - lo g_{10} (x - 1)

Solution steps

lo g_{10} (\frac{- 1}{x - 1})

Apply log rule:

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

lo g_{10} (\frac{- 1}{x - 1}) = lo g_{10} (- 1) - lo g_{10} (x - 1)

= lo g_{10} (- 1) - lo g_{10} (x - 1)

ln (3) + ln (\frac{4}{3})

ln (i) + ln (π) - ln (2)

ln (c x^{8})

- lo g_{10} (0.7 \cdot 1 0^{- 6})

5 lo g_{200} (- 5 lo g_{8} (x))

What is log_{10}((-1)/(x-1)) ?
The solution to log_{10}((-1)/(x-1)) is log_{10}(-1)-log_{10}(x-1)