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Popular >

simplify 2ln(4)-2ln(1/2)

Solution

simplify

2 ln (4) - 2 ln (\frac{1}{2})

Solution

6 ln (2)

+1

Decimal Notation

4.15888 \dots

Solution steps

2 ln (4) - 2 ln (\frac{1}{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)

= 2 ln (4) - 2 (ln (1) - ln (2))

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

= 2 ln (4) - (- 2 ln (2))

Apply rule

- (- a) = a

= 2 ln (4) + 2 ln (2)

2 ln (4) = 4 ln (2)

= 4 ln (2) + 2 ln (2)

Add similar elements:

4 ln (2) + 2 ln (2) = 6 ln (2)

= 6 ln (2)

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Frequently Asked Questions (FAQ)

What is 2ln(4)-2ln(1/2) ?
The solution to 2ln(4)-2ln(1/2) is 6ln(2)