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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

2 ln (x) - ln (y)

ln (x) + ln (15)

lo g_{13} (13 x)

lo g_{10} (4) + lo g_{10} (5)

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