What is log_{10}(30)+log_{10}(1/10) ?

The solution to log_{10}(30)+log_{10}(1/10) is log_{10}(3)

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simplify log_{10}(30)+log_{10}(1/10)

simplify

lo g_{10} (30) + lo g_{10} (\frac{1}{10})

lo g_{10} (3)

Decimal Notation

0.47712 \dots

Solution steps

lo g_{10} (30) + lo g_{10} (\frac{1}{10})

Apply log rule:

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

lo g_{10} (30) + lo g_{10} (\frac{1}{10}) = lo g_{10} (30 \cdot \frac{1}{10})

= lo g_{10} (30 \cdot \frac{1}{10})

30 \cdot \frac{1}{10} = 3

= lo g_{10} (3)

ln (14 x y)

6 x^{2} (x^{3} + 4) + ln (2 x) + 1

lo g_{10} (\frac{x ^{2}}{4 y ^{3}})

ln (\frac{3 \cdot x ^{4}}{y})

What is log_{10}(30)+log_{10}(1/10) ?
The solution to log_{10}(30)+log_{10}(1/10) is log_{10}(3)