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Popular >

simplify-log_{2}(1/20)

Solution

simplify

- lo g_{2} (\frac{1}{20})

Solution

lo g_{2} (20)

+1

Decimal Notation

4.32192 \dots

Solution steps

- lo g_{2} (\frac{1}{20})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{2} (\frac{1}{20}) = lo g_{2} (1) - lo g_{2} (20)

= - (lo g_{2} (1) - lo g_{2} (20))

Apply log rule:

lo g_{a} (1) = 0

= - (- lo g_{2} (20) + 0)

0 - lo g_{2} (20) = - lo g_{2} (20)

= - (- lo g_{2} (20))

Apply rule

- (- a) = a

= lo g_{2} (20)

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- lo g_{10} (5.916 \cdot 1 0^{- 5})

Frequently Asked Questions (FAQ)

What is simplify-log_{2}(1/20) ?
The solution to simplify-log_{2}(1/20) is log_{2}(20)