What is log_{3}(5)+log_{3}(8) ?

The solution to log_{3}(5)+log_{3}(8) is log_{3}(40)

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simplify log_{3}(5)+log_{3}(8)

simplify

lo g_{3} (5) + lo g_{3} (8)

lo g_{3} (40)

Decimal Notation

3.35776 \dots

Solution steps

lo g_{3} (5) + lo g_{3} (8)

Apply log rule:

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

lo g_{3} (5) + lo g_{3} (8) = lo g_{3} (5 \cdot 8)

= lo g_{3} (5 \cdot 8)

Multiply the numbers:

5 \cdot 8 = 40

= lo g_{3} (40)

ln (2) + \frac{1}{3} ln (27)

lo g_{10} (\frac{x}{2 y ^{2}})

lo g_{2} (4 x^{3})

lo g_{10} (- 2 x)

lo g_{3} (\frac{a b}{12})

What is log_{3}(5)+log_{3}(8) ?
The solution to log_{3}(5)+log_{3}(8) is log_{3}(40)