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

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

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

simplify

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

lo g_{3} (40)

Decimal Notation

3.35776 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

8 \cdot 5 = 40

= lo g_{3} (40)

lo g_{10} (\frac{2 x}{x + 1})

ln (x e^{- 7 x})

- 9 lo g_{10} (z) + 2 lo g_{10} (x) - 5 lo g_{10} (y)

ln (\frac{1}{0.8})

\frac{1}{3} (ln ∣ 3 + 1 ∣ - ln ∣ 3 + 2 ∣)

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