What is log_{5}(3)+log_{5}(7) ?

The solution to log_{5}(3)+log_{5}(7) is log_{5}(21)

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simplify log_{5}(3)+log_{5}(7)

simplify

lo g_{5} (3) + lo g_{5} (7)

lo g_{5} (21)

Decimal Notation

1.89166 \dots

Solution steps

lo g_{5} (3) + lo g_{5} (7)

Apply log rule:

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

lo g_{5} (3) + lo g_{5} (7) = lo g_{5} (3 \cdot 7)

= lo g_{5} (3 \cdot 7)

Multiply the numbers:

3 \cdot 7 = 21

= lo g_{5} (21)

lo g_{10} (\frac{z y}{x ^{2}})

ln (\frac{125}{27})

ln (\frac{e ^{3}}{3})

ln (\frac{e ^{3}}{4})

ln (y \frac{y}{2 - y})

What is log_{5}(3)+log_{5}(7) ?
The solution to log_{5}(3)+log_{5}(7) is log_{5}(21)