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Popular >

simplify 2(ln(5/2)-ln(3/2))

Solution

simplify

2 (ln (\frac{5}{2}) - ln (\frac{3}{2}))

Solution

2 ln (\frac{5}{3})

+1

Decimal Notation

1.02165 \dots

Solution steps

2 (ln (\frac{5}{2}) - ln (\frac{3}{2}))

Apply log rule:

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

ln (\frac{5}{2}) - ln (\frac{3}{2}) = ln (\frac{\frac{5}{2}}{\frac{3}{2}})

= 2 ln (\frac{\frac{5}{2}}{\frac{3}{2}})

\frac{\frac{5}{2}}{\frac{3}{2}} = \frac{5}{3}

= 2 ln (\frac{5}{3})

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Frequently Asked Questions (FAQ)

What is 2(ln(5/2)-ln(3/2)) ?
The solution to 2(ln(5/2)-ln(3/2)) is 2ln(5/3)