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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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

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

3 lo g_{10} (5) + 2 lo g_{10} (3) - 4 lo g_{10} (2)

- lo g_{10} (4 \cdot 1 0^{- 4})

lo g_{10} (\frac{5 a ^{2} b ^{4} c}{2 x y})

lo g_{9} (81 x^{8})

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