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

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

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

simplify

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

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

Solution steps

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

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

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

lo g_{n} (m \cdot n \cdot p)

lo g_{5} (\frac{x + 1}{x})

- lo g_{10} (2.1 \cdot 1 0^{- 4})

lo g_{2} (9) + lo g_{2} (11)

lo g_{10} (\frac{( x + 2 ) ^{2}}{x - 1})

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