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

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

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

simplify

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

lo g_{10} (21)

Decimal Notation

1.32221 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

7 \cdot 3 = 21

= lo g_{10} (21)

ln (x^{12} 6 - x)

lo g_{10} (7) + lo g_{10} (4)

lo g_{a} (\frac{x y}{z ^{2}})

ln (x e^{5 x})

lo g_{3} (\frac{a}{b})

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