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Popular >

simplify log_{2}(sqrt(5))

Solution

simplify

lo g_{2} (5)

Solution

\frac{1}{2} lo g_{2} (5)

+1

Decimal Notation

1.16096 \dots

Solution steps

lo g_{2} (5)

Rewrite as

= lo g_{2} (5^{\frac{1}{2}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{2} lo g_{2} (5)

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Frequently Asked Questions (FAQ)

What is log_{2}(sqrt(5)) ?
The solution to log_{2}(sqrt(5)) is 1/2 log_{2}(5)