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

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

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

simplify

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

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

Solution steps

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

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

ln (ab)

lo g_{d} (u^{6} v^{5})

ln (\frac{e ^{4}}{4})

ln (\frac{e ^{- n t^{a}}}{1 - e ^{- n t^{a}}})

lo g_{10} (\frac{ab}{c})

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