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Popular >

simplify log_{2}(0.4)

Solution

simplify

lo g_{2} (0.4)

Solution

1 - lo g_{2} (5)

+1

Decimal Notation

- 1.32192 \dots

Solution steps

lo g_{2} (0.4)

0.4 = \frac{4}{10}

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

Cancel

\frac{4}{10} : \frac{2}{5}

= lo g_{2} (\frac{2}{5})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{2} (\frac{2}{5}) = lo g_{2} (2) - lo g_{2} (5)

= lo g_{2} (2) - lo g_{2} (5)

lo g_{2} (2) = 1

= 1 - lo g_{2} (5)

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Frequently Asked Questions (FAQ)

What is log_{2}(0.4) ?
The solution to log_{2}(0.4) is 1-log_{2}(5)