What is log_{10}((x+7)/(x-1)) ?

The solution to log_{10}((x+7)/(x-1)) is log_{10}(x+7)-log_{10}(x-1)

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simplify log_{10}((x+7)/(x-1))

simplify

lo g_{10} (\frac{x + 7}{x - 1})

lo g_{10} (x + 7) - lo g_{10} (x - 1)

Solution steps

lo g_{10} (\frac{x + 7}{x - 1})

Apply log rule:

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

lo g_{10} (\frac{x + 7}{x - 1}) = lo g_{10} (x + 7) - lo g_{10} (x - 1)

= lo g_{10} (x + 7) - lo g_{10} (x - 1)

3 ln (x) + 6 ln (y) - 5 ln (z)

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

ln (a b^{t}) - ln ((ab)^{t}) - 2 ln (a)

ln (\frac{7}{6})

lo g_{10} (0.01) - lo g_{10} (0.001)

What is log_{10}((x+7)/(x-1)) ?
The solution to log_{10}((x+7)/(x-1)) is log_{10}(x+7)-log_{10}(x-1)