What is log_{3}(7)+log_{3}(2) ?

The solution to log_{3}(7)+log_{3}(2) is log_{3}(14)

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simplify log_{3}(7)+log_{3}(2)

simplify

lo g_{3} (7) + lo g_{3} (2)

lo g_{3} (14)

Decimal Notation

2.40217 \dots

Solution steps

lo g_{3} (7) + lo g_{3} (2)

Apply log rule:

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

lo g_{3} (7) + lo g_{3} (2) = lo g_{3} (7 \cdot 2)

= lo g_{3} (7 \cdot 2)

Multiply the numbers:

7 \cdot 2 = 14

= lo g_{3} (14)

lo g_{10} (z y^{7})

lo g_{3} (\frac{y}{27})

lo g_{6} (\frac{q}{12})

lo g_{e} (3 e)

ln (\frac{2}{10})

What is log_{3}(7)+log_{3}(2) ?
The solution to log_{3}(7)+log_{3}(2) is log_{3}(14)