What is log_{3}(2)+log_{3}(11) ?

The solution to log_{3}(2)+log_{3}(11) is log_{3}(22)

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simplify log_{3}(2)+log_{3}(11)

simplify

lo g_{3} (2) + lo g_{3} (11)

lo g_{3} (22)

Decimal Notation

2.81358 \dots

Solution steps

lo g_{3} (2) + lo g_{3} (11)

Apply log rule:

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

lo g_{3} (2) + lo g_{3} (11) = lo g_{3} (2 \cdot 11)

= lo g_{3} (2 \cdot 11)

Multiply the numbers:

2 \cdot 11 = 22

= lo g_{3} (22)

6 lo g_{10} (- 0.5 x)

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

ln ((a b^{3})^{6})

2 ln (x + 4) - 7 ln (x)

What is log_{3}(2)+log_{3}(11) ?
The solution to log_{3}(2)+log_{3}(11) is log_{3}(22)