What is log_{10}(6)-log_{10}(3) ?

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

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simplify log_{10}(6)-log_{10}(3)

simplify

lo g_{10} (6) - lo g_{10} (3)

lo g_{10} (2)

Solution steps

lo g_{10} (6) - lo g_{10} (3)

Apply log rule:

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

lo g_{10} (6) - lo g_{10} (3) = lo g_{10} (\frac{6}{3})

= lo g_{10} (\frac{6}{3})

Divide the numbers:

\frac{6}{3} = 2

= lo g_{10} (2)

lo g_{10} (2 ab)

lo g_{10} (a b^{2})

lo g_{3} (\frac{81}{x ^{2} + 5})

- lo g_{10} (\frac{1}{x})

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