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Popular >

simplify log_{2}(sqrt(x))

Solution

simplify

lo g_{2} (x)

Solution

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

Solution steps

lo g_{2} (x)

Rewrite as

= lo g_{2} (x^{\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} (x)

Popular Examples

simplify log_{2}(4/7)simplify

lo g_{2} (\frac{4}{7})

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- 2 (v + 1) - 6

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\frac{5}{6} + \frac{1}{21}

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\frac{x ^{3} - 5 x ^{2} + 2 x + 8}{x + 1}

expand (3h+2)(5h+4)expand

(3 h + 2) (5 h + 4)

Frequently Asked Questions (FAQ)

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