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Popular >

simplify 7ln(1/2)+5ln(2)

Solution

simplify

7 ln (\frac{1}{2}) + 5 ln (2)

Solution

- 2 ln (2)

+1

Decimal Notation

- 1.38629 \dots

Solution steps

7 ln (\frac{1}{2}) + 5 ln (2)

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)

= 7 (ln (1) - ln (2)) + 5 ln (2)

7 (ln (1) - ln (2)) = - 7 ln (2)

= - 7 ln (2) + 5 ln (2)

Add similar elements:

- 7 ln (2) + 5 ln (2) = - 2 ln (2)

= - 2 ln (2)

Popular Examples

(x + 5)^{2} = - 9

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simplify (sqrt(3))/2+(sqrt(2))/2 simplify

\frac{3}{2} + \frac{2}{2}

Frequently Asked Questions (FAQ)

What is 7ln(1/2)+5ln(2) ?
The solution to 7ln(1/2)+5ln(2) is -2ln(2)