What is log_{3}(5)+log_{3}(2) ?

The solution to log_{3}(5)+log_{3}(2) is log_{3}(10)

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simplify log_{3}(5)+log_{3}(2)

simplify

lo g_{3} (5) + lo g_{3} (2)

lo g_{3} (10)

Decimal Notation

2.09590 \dots

Solution steps

lo g_{3} (5) + lo g_{3} (2)

Apply log rule:

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

lo g_{3} (5) + lo g_{3} (2) = lo g_{3} (5 \cdot 2)

= lo g_{3} (5 \cdot 2)

Multiply the numbers:

5 \cdot 2 = 10

= lo g_{3} (10)

lo g_{10} (4) + lo g_{10} (6) - lo g_{10} (2)

lo g_{15} (15 x)

lo g_{10} (15) + lo g_{10} (2) - lo g_{10} (5)

lo g_{7} (49 x)

lo g_{4} (2) + 2 lo g_{4} (7)

What is log_{3}(5)+log_{3}(2) ?
The solution to log_{3}(5)+log_{3}(2) is log_{3}(10)