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Popular >

simplify log_{2}(3/2)

Solution

simplify

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

Solution

lo g_{2} (3) - 1

+1

Decimal Notation

0.58496 \dots

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (2) = 1

= lo g_{2} (3) - 1

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x/2-5/2 <= x/3+1

\frac{x}{2} - \frac{5}{2} \leq \frac{x}{3} + 1

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Frequently Asked Questions (FAQ)

What is log_{2}(3/2) ?
The solution to log_{2}(3/2) is log_{2}(3)-1