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Popular >

simplify log_{3}(sqrt(3))

Solution

simplify

lo g_{3} (3)

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

lo g_{3} (3)

Apply radical rule:

a = a^{\frac{1}{2}}

3 = 3^{\frac{1}{2}}

= lo g_{3} (3^{\frac{1}{2}})

Apply log rule:

lo g_{a} (a^{b}) = b

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

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