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Popular >

simplify log_{4}(2/100)

Solution

simplify

lo g_{4} (\frac{2}{100})

Solution

\frac{1}{2} - 2 lo g_{4} (10)

+1

Decimal Notation

- 2.82192 \dots

Solution steps

lo g_{4} (\frac{2}{100})

Apply log rule:

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

lo g_{4} (\frac{2}{100}) = lo g_{4} (2) - lo g_{4} (100)

= lo g_{4} (2) - lo g_{4} (100)

lo g_{4} (2) = \frac{1}{2}

lo g_{4} (100) = 2 lo g_{4} (10)

= \frac{1}{2} - 2 lo g_{4} (10)

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Frequently Asked Questions (FAQ)

What is log_{4}(2/100) ?
The solution to log_{4}(2/100) is 1/2-2log_{4}(10)