What is log_{10}(2)+log_{10}(3)+log_{10}(5) ?

The solution to log_{10}(2)+log_{10}(3)+log_{10}(5) is log_{10}(30)

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simplify log_{10}(2)+log_{10}(3)+log_{10}(5)

simplify

lo g_{10} (2) + lo g_{10} (3) + lo g_{10} (5)

lo g_{10} (30)

Decimal

1.47712 \dots

Solution steps

lo g_{10} (2) + lo g_{10} (3) + lo g_{10} (5)

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (3) = lo g_{10} (2 \cdot 3)

= lo g_{10} (2 \cdot 3) + lo g_{10} (5)

Apply log rule:

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

lo g_{10} (2 \cdot 3) + lo g_{10} (5) = lo g_{10} (2 \cdot 3 \cdot 5)

= lo g_{10} (2 \cdot 3 \cdot 5)

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= lo g_{10} (30)

ln (3 x)

lo g_{10} (x^{2} y)

lo g_{10} (0.6) + lo g_{10} (30)

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

- lo g_{b} (\frac{1}{3})

What is log_{10}(2)+log_{10}(3)+log_{10}(5) ?
The solution to log_{10}(2)+log_{10}(3)+log_{10}(5) is log_{10}(30)