What is the domain of log_{10}(x^2-3x)-log_{10}(x+5) ?

The domain of log_{10}(x^2-3x)-log_{10}(x+5) is -5 3

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domain of log_{10}(x^2-3x)-log_{10}(x+5)

domain

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

- 5 < x < 0 or x > 3

Solution steps

Find positive values for logs:

- 5 < x < 0 or x > 3

The function domain

- 5 < x < 0 or x > 3

f (x) = x^{2} + 4 x + 7

\frac{1 - 6 x + 9 x ^{2}}{3 x - 1}

f (x) = lo g_{4} (\frac{2 x + 5}{x ^{2}})

f (x) = \frac{7}{( 2 x - 6 ) ^{2}}

f (x) = ln (x + 2) - \frac{1}{3 - x}

What is the domain of log_{10}(x^2-3x)-log_{10}(x+5) ?
The domain of log_{10}(x^2-3x)-log_{10}(x+5) is -5<x<0\lor x>3