What is log_{4}(3)+log_{4}(7) ?

The solution to log_{4}(3)+log_{4}(7) is log_{4}(21)

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simplify log_{4}(3)+log_{4}(7)

simplify

lo g_{4} (3) + lo g_{4} (7)

lo g_{4} (21)

Decimal Notation

2.19615 \dots

Solution steps

lo g_{4} (3) + lo g_{4} (7)

Apply log rule:

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

lo g_{4} (3) + lo g_{4} (7) = lo g_{4} (3 \cdot 7)

= lo g_{4} (3 \cdot 7)

Multiply the numbers:

3 \cdot 7 = 21

= lo g_{4} (21)

lo g_{b} (\frac{x}{y})

\frac{1}{3} lo g_{10} (3 x) + \frac{2}{3} lo g_{10} (3 x)

4 ln (x) + 7 ln (y) - 3 ln (z)

lo g_{10} (\frac{11 x ^{3} y}{z + 1})

lo g_{2} (x) + lo g_{2} (x + 3) + lo g_{2} (y)

What is log_{4}(3)+log_{4}(7) ?
The solution to log_{4}(3)+log_{4}(7) is log_{4}(21)