What is log_{10}((x+5)/(x-1)) ?

The solution to log_{10}((x+5)/(x-1)) is log_{10}(x+5)-log_{10}(x-1)

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simplify log_{10}((x+5)/(x-1))

simplify

lo g_{10} (\frac{x + 5}{x - 1})

lo g_{10} (x + 5) - lo g_{10} (x - 1)

Solution steps

lo g_{10} (\frac{x + 5}{x - 1})

Apply log rule:

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

lo g_{10} (\frac{x + 5}{x - 1}) = lo g_{10} (x + 5) - lo g_{10} (x - 1)

= lo g_{10} (x + 5) - lo g_{10} (x - 1)

lo g_{a} (x^{2} y^{3})

lo g_{10} (\frac{9 z}{3})

(\frac{1}{4}) (5 lo g_{10} (x) + 3 lo g_{10} (y))

3 lo g_{9} (x) - 2 lo g_{9} (y)

ln (x) + ln (x + 6)

What is log_{10}((x+5)/(x-1)) ?
The solution to log_{10}((x+5)/(x-1)) is log_{10}(x+5)-log_{10}(x-1)