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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

2 lo g_{5} (3 x) - lo g_{5} (5 x)

3 ln (x) + 5 ln (3)

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

34 lo g_{2} (a) - 13 lo g_{2} (b) + 5 lo g_{2} (c)

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