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Popular >

simplify log_{2}((ab)/4)

Solution

simplify

lo g_{2} (\frac{ab}{4})

Solution

lo g_{2} (a) + lo g_{2} (b) - 2

Solution steps

lo g_{2} (\frac{ab}{4})

Apply log rule:

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

lo g_{2} (\frac{ab}{4}) = lo g_{2} (ab) - lo g_{2} (4)

= lo g_{2} (ab) - lo g_{2} (4)

lo g_{2} (ab) = lo g_{2} (a) + lo g_{2} (b)

lo g_{2} (4) = 2

= lo g_{2} (a) + lo g_{2} (b) - 2

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Frequently Asked Questions (FAQ)

What is log_{2}((ab)/4) ?
The solution to log_{2}((ab)/4) is log_{2}(a)+log_{2}(b)-2