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Popular >

simplify 3ln(1/2 3)+1

Solution

simplify

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

Solution

- 3 ln (2) + 3 ln (3) + 1

+1

Decimal Notation

2.21639 \dots

Solution steps

3 ln (\frac{1}{2} \cdot 3) + 1

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

3 ln (\frac{1}{2} \cdot 3) = 3 ln (\frac{1}{2}) + 3 ln (3)

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

Apply log rule:

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

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

= 3 (ln (1) - ln (2)) + 3 ln (3) + 1

3 (ln (1) - ln (2)) = - 3 ln (2)

= - 3 ln (2) + 3 ln (3) + 1

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Frequently Asked Questions (FAQ)

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