What is log_{10}(x^2-9)-log_{10}(x+3) ?

The solution to log_{10}(x^2-9)-log_{10}(x+3) is log_{10}(x-3)

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simplify log_{10}(x^2-9)-log_{10}(x+3)

simplify

lo g_{10} (x^{2} - 9) - lo g_{10} (x + 3)

lo g_{10} (x - 3)

Solution steps

lo g_{10} (x^{2} - 9) - lo g_{10} (x + 3)

Apply log rule:

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

lo g_{10} (x^{2} - 9) - lo g_{10} (x + 3) = lo g_{10} (\frac{x ^{2} - 9}{x + 3})

= lo g_{10} (\frac{x ^{2} - 9}{x + 3})

Simplify

\frac{x ^{2} - 9}{x + 3} : x - 3

= lo g_{10} (x - 3)

lo g_{10} (x y^{5})

lo g_{10} (8) + lo g_{10} (4)

lo g_{4} (\frac{12}{x})

lo g_{10} (\frac{y}{x ^{7}})

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

What is log_{10}(x^2-9)-log_{10}(x+3) ?
The solution to log_{10}(x^2-9)-log_{10}(x+3) is log_{10}(x-3)