What is log_{10}(2)+log_{10}(3) ?

The solution to log_{10}(2)+log_{10}(3) is log_{10}(6)

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simplify log_{10}(2)+log_{10}(3)

simplify

lo g_{10} (2) + lo g_{10} (3)

lo g_{10} (6)

Decimal Notation

0.77815 \dots

Solution steps

lo g_{10} (2) + lo g_{10} (3)

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (3) = lo g_{10} (2 \cdot 3)

= lo g_{10} (2 \cdot 3)

Multiply the numbers:

2 \cdot 3 = 6

= lo g_{10} (6)

lo g_{10} (10 x)

2 lo g_{10} (x) - 3 lo g_{10} (y) + 4 lo g_{10} (z)

lo g_{10} (2 x)

lo g_{3} (2 x)

3 lo g_{b} (b) + lo g_{b} (b^{2}) + lo g_{b} (b^{- 5})

What is log_{10}(2)+log_{10}(3) ?
The solution to log_{10}(2)+log_{10}(3) is log_{10}(6)