What is log_{3}(2xy) ?

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

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simplify log_{3}(2xy)

simplify

lo g_{3} (2 x y)

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

Solution steps

lo g_{3} (2 x y)

Apply log rule:

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

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

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

4 ln (x - 4) - 2 ln (x)

lo g_{10} (2) + lo g_{10} (11) + lo g_{10} (7)

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

- lo g_{10} (2.5 \cdot 1 0^{- 4})

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