What is log_{3}(4)+log_{3}(11) ?

The solution to log_{3}(4)+log_{3}(11) is log_{3}(44)

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simplify log_{3}(4)+log_{3}(11)

simplify

lo g_{3} (4) + lo g_{3} (11)

lo g_{3} (44)

Decimal Notation

3.44451 \dots

Solution steps

lo g_{3} (4) + lo g_{3} (11)

Apply log rule:

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

lo g_{3} (4) + lo g_{3} (11) = lo g_{3} (4 \cdot 11)

= lo g_{3} (4 \cdot 11)

Multiply the numbers:

4 \cdot 11 = 44

= lo g_{3} (44)

lo g_{10} (6) + 4 lo g_{10} (2)

- lo g_{10} (1 x 1 0^{- 7})

\frac{1}{4} lo g_{c} (x) + 5 lo g_{c} (y) - 4 lo g_{c} (x)

ln (y \frac{y}{4 - y})

lo g_{9} (x + 3) + lo g_{9} (x - 5)

What is log_{3}(4)+log_{3}(11) ?
The solution to log_{3}(4)+log_{3}(11) is log_{3}(44)