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Popular >

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

Solution

simplify

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

Solution

- 2 ln (2)

+1

Solution steps

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

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

Add similar elements:

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

= ln (1) - 2 ln (2)

Apply log rule:

lo g_{a} (1) = 0

= 0 - 2 ln (2)

0 - 2 ln (2) = - 2 ln (2)

= - 2 ln (2)

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Frequently Asked Questions (FAQ)

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