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Popular >

simplify log_{2}(2/100)

Solution

simplify

lo g_{2} (\frac{2}{100})

Solution

1 - 2 lo g_{2} (10)

+1

Decimal Notation

- 5.64385 \dots

Solution steps

lo g_{2} (\frac{2}{100})

Apply log rule:

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

lo g_{2} (\frac{2}{100}) = lo g_{2} (2) - lo g_{2} (100)

= lo g_{2} (2) - lo g_{2} (100)

Apply log rule:

lo g_{a} (a) = 1

= 1 - lo g_{2} (100)

lo g_{2} (100) = 2 lo g_{2} (10)

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

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Frequently Asked Questions (FAQ)

What is log_{2}(2/100) ?
The solution to log_{2}(2/100) is 1-2log_{2}(10)