What is log_{10}(3)+log_{10}(5) ?

The solution to log_{10}(3)+log_{10}(5) is log_{10}(15)

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simplify log_{10}(3)+log_{10}(5)

simplify

lo g_{10} (3) + lo g_{10} (5)

lo g_{10} (15)

Decimal Notation

1.17609 \dots

Solution steps

lo g_{10} (3) + lo g_{10} (5)

Apply log rule:

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

lo g_{10} (3) + lo g_{10} (5) = lo g_{10} (3 \cdot 5)

= lo g_{10} (3 \cdot 5)

Multiply the numbers:

3 \cdot 5 = 15

= lo g_{10} (15)

3 lo g_{6} (x) + 5 lo g_{6} (x - 6)

ln (\frac{π}{2})

lo g_{2} (3 x)

lo g_{3} (\frac{x}{9})

lo g_{b} (\frac{mn}{pq})

What is log_{10}(3)+log_{10}(5) ?
The solution to log_{10}(3)+log_{10}(5) is log_{10}(15)