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Popular >

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

Solution

simplify

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

Solution

ln (3)

+1

Decimal Notation

1.09861 \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} (\frac{a}{b})

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

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

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

= ln (3)

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lo g_{10} (y z^{6})

expand log_{10}(3x^2y)expand

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simplify ln((23)/(0.22))simplify

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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)