What is log_{10}(12)-log_{10}(6) ?

The solution to log_{10}(12)-log_{10}(6) is log_{10}(2)

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simplify log_{10}(12)-log_{10}(6)

simplify

lo g_{10} (12) - lo g_{10} (6)

lo g_{10} (2)

Decimal Notation

0.30102 \dots

Solution steps

lo g_{10} (12) - lo g_{10} (6)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{10} (12) - lo g_{10} (6) = lo g_{10} (\frac{12}{6})

= lo g_{10} (\frac{12}{6})

Divide the numbers:

\frac{12}{6} = 2

= lo g_{10} (2)

lo g_{12} (12 x)

ln (\frac{5}{9})

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

2 lo g_{10} (a) + 4 lo g_{10} (b) - 9 lo g_{10} (c)

What is log_{10}(12)-log_{10}(6) ?
The solution to log_{10}(12)-log_{10}(6) is log_{10}(2)