What is log_{10}((x+2)/(x-3)) ?

The solution to log_{10}((x+2)/(x-3)) is log_{10}(x+2)-log_{10}(x-3)

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simplify log_{10}((x+2)/(x-3))

simplify

lo g_{10} (\frac{x + 2}{x - 3})

lo g_{10} (x + 2) - lo g_{10} (x - 3)

Solution steps

lo g_{10} (\frac{x + 2}{x - 3})

Apply log rule:

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

lo g_{10} (\frac{x + 2}{x - 3}) = lo g_{10} (x + 2) - lo g_{10} (x - 3)

= lo g_{10} (x + 2) - lo g_{10} (x - 3)

4 lo g_{b} (x) - 6 lo g_{b} (y^{5})

ln (\frac{2 x ^{2} y}{z ^{4}})

lo g_{3} (b) + lo g_{3} (b + 5)

lo g_{3} (b) + lo g_{3} (b + 8)

lo g_{10} (\frac{x}{100000 y ^{8}})

What is log_{10}((x+2)/(x-3)) ?
The solution to log_{10}((x+2)/(x-3)) is log_{10}(x+2)-log_{10}(x-3)