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Popular >

simplify ln(3/2)+ln(1/2)

Solution

simplify

ln (\frac{3}{2}) + ln (\frac{1}{2})

Solution

ln (\frac{3}{4})

+1

Decimal Notation

- 0.28768 \dots

Solution steps

ln (\frac{3}{2}) + ln (\frac{1}{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (\frac{3}{2}) + ln (\frac{1}{2}) = ln (\frac{3}{2} \cdot \frac{1}{2})

= ln (\frac{3}{2} \cdot \frac{1}{2})

\frac{3}{2} \cdot \frac{1}{2} = \frac{3}{4}

= ln (\frac{3}{4})

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Frequently Asked Questions (FAQ)

What is ln(3/2)+ln(1/2) ?
The solution to ln(3/2)+ln(1/2) is ln(3/4)