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Popular >

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

Solution

simplify

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

Solution

3 ln (2)

+1

Decimal Notation

2.07944 \dots

Solution steps

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

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

= 2 ln (2) + ln (2)

Add similar elements:

2 ln (2) + ln (2) = 3 ln (2)

= 3 ln (2)

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Frequently Asked Questions (FAQ)

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