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Popular >

simplify-log_{2}(1/8)

Solution

simplify

- lo g_{2} (\frac{1}{8})

Solution

3

Solution steps

- lo g_{2} (\frac{1}{8})

\frac{1}{8} = 2^{- 3}

= - lo g_{2} (2^{- 3})

Apply log rule:

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

lo g_{2} (2^{- 3}) = - 3

= - (- 3)

Apply rule:

- (- a) = a

- (- 3) = 3

= 3

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Frequently Asked Questions (FAQ)

What is simplify-log_{2}(1/8) ?
The solution to simplify-log_{2}(1/8) is 3