What is log_{3}(2)+log_{3}(13) ?

The solution to log_{3}(2)+log_{3}(13) is log_{3}(26)

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simplify log_{3}(2)+log_{3}(13)

simplify

lo g_{3} (2) + lo g_{3} (13)

lo g_{3} (26)

Decimal Notation

2.96564 \dots

Solution steps

lo g_{3} (2) + lo g_{3} (13)

Apply log rule:

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

lo g_{3} (2) + lo g_{3} (13) = lo g_{3} (2 \cdot 13)

= lo g_{3} (2 \cdot 13)

Multiply the numbers:

2 \cdot 13 = 26

= lo g_{3} (26)

2 lo g_{5} (x) - lo g_{5} (y) - \frac{1}{2} lo g_{5} (z)

lo g_{10} (\frac{1000 c ^{5}}{2 d ^{4}})

lo g_{2} (2000) - lo g_{2} (150)

lo g_{5} (4) + lo g_{5} (6)

lo g_{9} (Y) + 5 lo g_{9} (U) + \frac{2 lo g _{9} ( O )}{3}

What is log_{3}(2)+log_{3}(13) ?
The solution to log_{3}(2)+log_{3}(13) is log_{3}(26)