What is log_{10}(6)-log_{10}(2) ?

The solution to log_{10}(6)-log_{10}(2) is log_{10}(3)

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simplify log_{10}(6)-log_{10}(2)

simplify

lo g_{10} (6) - lo g_{10} (2)

lo g_{10} (3)

Decimal Notation

0.47712 \dots

Solution steps

lo g_{10} (6) - lo g_{10} (2)

Apply log rule:

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

lo g_{10} (6) - lo g_{10} (2) = lo g_{10} (\frac{6}{2})

= lo g_{10} (\frac{6}{2})

Divide the numbers:

\frac{6}{2} = 3

= lo g_{10} (3)

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

lo g_{2} (x (x - 1))

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

lo g_{10} (6 \cdot 11)

\frac{1}{2} lo g_{2} (3)

What is log_{10}(6)-log_{10}(2) ?
The solution to log_{10}(6)-log_{10}(2) is log_{10}(3)