What is log_{10}(3)+log_{10}(7) ?

The solution to log_{10}(3)+log_{10}(7) is log_{10}(21)

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simplify log_{10}(3)+log_{10}(7)

simplify

lo g_{10} (3) + lo g_{10} (7)

lo g_{10} (21)

Decimal Notation

1.32221 \dots

Solution steps

lo g_{10} (3) + lo g_{10} (7)

Apply log rule:

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

lo g_{10} (3) + lo g_{10} (7) = lo g_{10} (3 \cdot 7)

= lo g_{10} (3 \cdot 7)

Multiply the numbers:

3 \cdot 7 = 21

= lo g_{10} (21)

- lo g_{10} (5 \cdot 1 0^{- 9})

lo g_{4} ((\frac{2 j}{k ^{5}})^{3})

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

\frac{1}{6} ln (8) - \frac{1}{6} ln (4)

What is log_{10}(3)+log_{10}(7) ?
The solution to log_{10}(3)+log_{10}(7) is log_{10}(21)