What is log_{10}(7)+log_{10}(4) ?

The solution to log_{10}(7)+log_{10}(4) is log_{10}(28)

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simplify log_{10}(7)+log_{10}(4)

simplify

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

lo g_{10} (28)

Decimal Notation

1.44715 \dots

Solution steps

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

Apply log rule:

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

lo g_{10} (7) + lo g_{10} (4) = lo g_{10} (7 \cdot 4)

= lo g_{10} (7 \cdot 4)

Multiply the numbers:

7 \cdot 4 = 28

= lo g_{10} (28)

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

ln (x e^{5 x})

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

lo g_{2} (15) + 6 lo g_{2} (x) - \frac{4}{3} lo g_{2} (x) - \frac{1}{3} lo g_{2} (x + 3)

- lo g_{10} (2.3 x 1 0^{- 9})

What is log_{10}(7)+log_{10}(4) ?
The solution to log_{10}(7)+log_{10}(4) is log_{10}(28)