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Popular >

simplify log_{2}(16)-log_{2}(8)

Solution

simplify

lo g_{2} (16) - lo g_{2} (8)

Solution

1

Solution steps

lo g_{2} (16) - lo g_{2} (8)

Apply log rule:

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

lo g_{2} (16) - lo g_{2} (8) = lo g_{2} (\frac{16}{8})

= lo g_{2} (\frac{16}{8})

Divide the numbers:

\frac{16}{8} = 2

= lo g_{2} (2)

Apply log rule:

lo g_{a} (a) = 1

= 1

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Frequently Asked Questions (FAQ)

What is log_{2}(16)-log_{2}(8) ?
The solution to log_{2}(16)-log_{2}(8) is 1