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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (5) + lo g_{4} (3)

- (\frac{1}{6}) lo g_{2} (\frac{1}{6}) - (\frac{5}{6}) lo g_{2} (\frac{5}{6})

lo g_{4} (5) + lo g_{4} (6)

2 lo g_{5} (z) + 2 lo g_{5} (x) + 10 lo g_{5} (y)

ln (\frac{a ^{2} - x ^{2}}{x})

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