What is log_{2}(165)-log_{2}(5) ?

The solution to log_{2}(165)-log_{2}(5) is log_{2}(33)

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simplify log_{2}(165)-log_{2}(5)

simplify

lo g_{2} (165) - lo g_{2} (5)

lo g_{2} (33)

Decimal Notation

5.04439 \dots

Solution steps

lo g_{2} (165) - lo g_{2} (5)

Apply log rule:

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

lo g_{2} (165) - lo g_{2} (5) = lo g_{2} (\frac{165}{5})

= lo g_{2} (\frac{165}{5})

Divide the numbers:

\frac{165}{5} = 33

= lo g_{2} (33)

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What is log_{2}(165)-log_{2}(5) ?
The solution to log_{2}(165)-log_{2}(5) is log_{2}(33)