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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

ln (3 x) - ln (x)

lo g_{10} (2) - lo g_{10} (6)

ln (1 + 2) - ln (- 1 + 2)

lo g_{10} (\frac{x ^{4} y}{z})

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