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Popular >

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

Solution

simplify

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

Solution

- 2 ln (2)

+1

Decimal Notation

- 1.38629 \dots

Solution steps

- 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)

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

Simplify

- ln (2) + + ln (1) - ln (2) : - 2 ln (2) + ln (1)

Apply log rule:

lo g_{a} (1) = 0

= - 2 ln (2) + 0

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

= - 2 ln (2)

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Frequently Asked Questions (FAQ)

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