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Popular >

simplify 3ln(3/(sqrt(2)))

Solution

simplify

3 ln (\frac{3}{2})

Solution

3 (ln (3) - \frac{1}{2} ln (2))

+1

Decimal Notation

2.25611 \dots

Solution steps

3 ln (\frac{3}{2})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{3}{2}) = ln (3) - ln (2)

= 3 (ln (3) - ln (2))

ln (2) = \frac{1}{2} ln (2)

= 3 (ln (3) - \frac{1}{2} ln (2))

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Frequently Asked Questions (FAQ)

What is 3ln(3/(sqrt(2))) ?
The solution to 3ln(3/(sqrt(2))) is 3(ln(3)-1/2 ln(2))