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Popular >

simplify log_{3}(sqrt(2))

Solution

simplify

lo g_{3} (2)

Solution

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

+1

Decimal Notation

0.31546 \dots

Solution steps

lo g_{3} (2)

Rewrite as

= lo g_{3} (2^{\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_{3} (2)

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x \frac{5}{6}

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Frequently Asked Questions (FAQ)

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