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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

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

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

lo g_{10} (\frac{x ^{4}}{y ^{2}})

7 lo g_{b} (x) + 6 lo g_{b} (z)

ln (\frac{3}{2 x ^{2} y})

lo g_{b} (5) + 2 lo g_{b} (4)

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