What is log_{10}(5)+log_{10}(3) ?

The solution to log_{10}(5)+log_{10}(3) is log_{10}(15)

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simplify log_{10}(5)+log_{10}(3)

simplify

lo g_{10} (5) + lo g_{10} (3)

lo g_{10} (15)

Decimal Notation

1.17609 \dots

Solution steps

lo g_{10} (5) + lo g_{10} (3)

Apply log rule:

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

lo g_{10} (5) + lo g_{10} (3) = lo g_{10} (5 \cdot 3)

= lo g_{10} (5 \cdot 3)

Multiply the numbers:

5 \cdot 3 = 15

= lo g_{10} (15)

lo g_{b} (\frac{x ^{3} y}{z ^{8}})

ln (x) + ln (2)

lo g_{5} (10 x)

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

lo g_{2} (\frac{x y}{( z - 3 ) ^{2}})

What is log_{10}(5)+log_{10}(3) ?
The solution to log_{10}(5)+log_{10}(3) is log_{10}(15)