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Popular >

simplify log_{2}(3)-log_{2}(12)

Solution

simplify

lo g_{2} (3) - lo g_{2} (12)

Solution

- 2

Solution steps

lo g_{2} (3) - lo g_{2} (12)

Apply log rule:

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

lo g_{2} (3) - lo g_{2} (12) = lo g_{2} (\frac{3}{12})

= lo g_{2} (\frac{3}{12})

\frac{3}{12} = 2^{- 2}

= lo g_{2} (2^{- 2})

Apply log rule:

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

= - 2

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Frequently Asked Questions (FAQ)

What is log_{2}(3)-log_{2}(12) ?
The solution to log_{2}(3)-log_{2}(12) is -2