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Popular >

simplify log_{6}(2)-log_{6}(12)

Solution

simplify

lo g_{6} (2) - lo g_{6} (12)

Solution

- 1

Solution steps

lo g_{6} (2) - lo g_{6} (12)

Apply log rule:

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

lo g_{6} (2) - lo g_{6} (12) = lo g_{6} (\frac{2}{12})

= lo g_{6} (\frac{2}{12})

\frac{2}{12} = 6^{- 1}

= lo g_{6} (6^{- 1})

Apply log rule:

lo g_{a} (a^{b}) = b

= - 1

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Frequently Asked Questions (FAQ)

What is log_{6}(2)-log_{6}(12) ?
The solution to log_{6}(2)-log_{6}(12) is -1