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Popular >

simplify log_{2}(0.75)

Solution

simplify

lo g_{2} (0.75)

Solution

lo g_{2} (3) - 2

+1

Decimal Notation

- 0.41503 \dots

Solution steps

lo g_{2} (0.75)

0.75 = \frac{75}{100}

= lo g_{2} (\frac{75}{100})

Cancel

\frac{75}{100} : \frac{3}{4}

= lo g_{2} (\frac{3}{4})

Apply log rule:

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

lo g_{2} (\frac{3}{4}) = lo g_{2} (3) - lo g_{2} (4)

= lo g_{2} (3) - lo g_{2} (4)

lo g_{2} (4) = 2

= lo g_{2} (3) - 2

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Frequently Asked Questions (FAQ)

What is log_{2}(0.75) ?
The solution to log_{2}(0.75) is log_{2}(3)-2