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Popular >

simplify log_{2}(1/10)

Solution

simplify

lo g_{2} (\frac{1}{10})

Solution

- lo g_{2} (10)

+1

Decimal Notation

- 3.32192 \dots

Solution steps

lo g_{2} (\frac{1}{10})

Apply log rule:

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

lo g_{2} (\frac{1}{10}) = lo g_{2} (1) - lo g_{2} (10)

= lo g_{2} (1) - lo g_{2} (10)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{2} (10)

0 - lo g_{2} (10) = - lo g_{2} (10)

= - lo g_{2} (10)

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Frequently Asked Questions (FAQ)

What is log_{2}(1/10) ?
The solution to log_{2}(1/10) is -log_{2}(10)