What is simplify-log_{10}(x+6)+log_{10}(x-5) ?

The solution to simplify-log_{10}(x+6)+log_{10}(x-5) is log_{10}((x-5)/(x+6))

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simplify-log_{10}(x+6)+log_{10}(x-5)

simplify

- lo g_{10} (x + 6) + lo g_{10} (x - 5)

lo g_{10} (\frac{x - 5}{x + 6})

Solution steps

- lo g_{10} (x + 6) + lo g_{10} (x - 5)

Apply log rule:

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

lo g_{10} (x - 5) - lo g_{10} (x + 6) = lo g_{10} (\frac{x - 5}{x + 6})

= lo g_{10} (\frac{x - 5}{x + 6})

lo g_{10} (\frac{2 x}{5})

lo g_{10} (x) + lo g_{10} (y) - lo g_{10} (z)

lo g_{10} ((a + b)^{2}) - lo g_{10} (a + b)

ln (2 π)

ln (2 x) - ln (x)

What is simplify-log_{10}(x+6)+log_{10}(x-5) ?
The solution to simplify-log_{10}(x+6)+log_{10}(x-5) is log_{10}((x-5)/(x+6))