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Popular >

simplify log_{2}(2.5)

Solution

simplify

lo g_{2} (2.5)

Solution

lo g_{2} (5) - 1

+1

Decimal Notation

1.32192 \dots

Solution steps

lo g_{2} (2.5)

2.5 = \frac{25}{10}

= lo g_{2} (\frac{25}{10})

Cancel

\frac{25}{10} : \frac{5}{2}

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

Apply log rule:

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

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

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

lo g_{2} (2) = 1

= lo g_{2} (5) - 1

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Frequently Asked Questions (FAQ)

What is log_{2}(2.5) ?
The solution to log_{2}(2.5) is log_{2}(5)-1