What is log_{10}(5)+log_{10}(6) ?

The solution to log_{10}(5)+log_{10}(6) is log_{10}(30)

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simplify log_{10}(5)+log_{10}(6)

simplify

lo g_{10} (5) + lo g_{10} (6)

lo g_{10} (30)

Decimal Notation

1.47712 \dots

Solution steps

lo g_{10} (5) + lo g_{10} (6)

Apply log rule:

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

lo g_{10} (5) + lo g_{10} (6) = lo g_{10} (5 \cdot 6)

= lo g_{10} (5 \cdot 6)

Multiply the numbers:

5 \cdot 6 = 30

= lo g_{10} (30)

lo g_{10} (5) + lo g_{10} (7)

lo g_{10} (\frac{y z ^{3}}{x ^{5}})

lo g_{10} (\frac{x y ^{7}}{z ^{3}})

lo g_{7} (\frac{7}{x})

lo g_{4 x} (20 x)

What is log_{10}(5)+log_{10}(6) ?
The solution to log_{10}(5)+log_{10}(6) is log_{10}(30)