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Popular >

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

Solution

simplify

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

Solution

ln (\frac{2}{3})

+1

Decimal Notation

- 0.40546 \dots

Solution steps

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

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

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

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

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

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Frequently Asked Questions (FAQ)

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