What is 2log_{3}(sqrt(2)) ?

The solution to 2log_{3}(sqrt(2)) is log_{3}(2)

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simplify 2log_{3}(sqrt(2))

simplify

2 lo g_{3} (2)

lo g_{3} (2)

Decimal Notation

0.63092 \dots

Solution steps

2 lo g_{3} (2)

Simplify

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Cancel the common factor:

2

= lo g_{3} (2) \cdot 1

Multiply:

lo g_{3} (2) \cdot 1 = lo g_{3} (2)

= lo g_{3} (2)

4 x^{2} + 20 x - 96

\frac{2 ^{- x}}{2 ^{x}}

3 x \times 5 x

3 x \times 2 y

\frac{4}{5} \times \frac{3}{4}