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Popular >

simplify log_{2}(1/1000)

Solution

simplify

lo g_{2} (\frac{1}{1000})

Solution

- 3 lo g_{2} (10)

+1

Decimal Notation

- 9.96578 \dots

Solution steps

lo g_{2} (\frac{1}{1000})

Apply log rule:

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

lo g_{2} (\frac{1}{1000}) = lo g_{2} (1) - lo g_{2} (1000)

= lo g_{2} (1) - lo g_{2} (1000)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{2} (1000)

0 - lo g_{2} (1000) = - lo g_{2} (1000)

= - lo g_{2} (1000)

Simplify

lo g_{2} (1000) : 3 lo g_{2} (10)

= - 3 lo g_{2} (10)

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Frequently Asked Questions (FAQ)

What is log_{2}(1/1000) ?
The solution to log_{2}(1/1000) is -3log_{2}(10)