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

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

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

simplify

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

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

Solution steps

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

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

2 ln (2) - ln (3)

2 + \frac{1}{2} lo g_{2} (49) - lo g_{2} (21)

ln (7) + ln (x) + ln (y)

lo g_{2} (\frac{3 x ^{2}}{( x - 1 ) ^{2}})

2 ln (3 x)

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