What is log_{3}(2)+log_{3}(6) ?

The solution to log_{3}(2)+log_{3}(6) is log_{3}(12)

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simplify log_{3}(2)+log_{3}(6)

simplify

lo g_{3} (2) + lo g_{3} (6)

lo g_{3} (12)

Decimal Notation

2.26185 \dots

Solution steps

lo g_{3} (2) + lo g_{3} (6)

Apply log rule:

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

lo g_{3} (2) + lo g_{3} (6) = lo g_{3} (2 \cdot 6)

= lo g_{3} (2 \cdot 6)

Multiply the numbers:

2 \cdot 6 = 12

= lo g_{3} (12)

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

lo g_{3} (2) + lo g_{3} (5)

lo g_{2} (x^{5} y^{2})

lo g_{6} (x - 7) + lo g_{6} (x + 7)

lo g_{9} (7) + lo g_{9} (4)

What is log_{3}(2)+log_{3}(6) ?
The solution to log_{3}(2)+log_{3}(6) is log_{3}(12)