What is log_{3}(5)+log_{3}(7) ?

The solution to log_{3}(5)+log_{3}(7) is log_{3}(35)

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simplify log_{3}(5)+log_{3}(7)

simplify

lo g_{3} (5) + lo g_{3} (7)

lo g_{3} (35)

Decimal Notation

3.23621 \dots

Solution steps

lo g_{3} (5) + lo g_{3} (7)

Apply log rule:

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

lo g_{3} (5) + lo g_{3} (7) = lo g_{3} (5 \cdot 7)

= lo g_{3} (5 \cdot 7)

Multiply the numbers:

5 \cdot 7 = 35

= lo g_{3} (35)

lo g_{5} (x) - lo g_{5} (x^{8})

lo g_{2} (x) + lo g_{2} (y)

lo g_{2} (\frac{8 x ^{4}}{5})

- lo g_{10} (4 \cdot 1 0^{- 9})

lo g_{3} (\frac{2 x}{y})

What is log_{3}(5)+log_{3}(7) ?
The solution to log_{3}(5)+log_{3}(7) is log_{3}(35)