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Popular >

simplify 5/2 ln(45/32)

Solution

simplify

\frac{5}{2} ln (\frac{45}{32})

Solution

\frac{5}{2} (ln (45) - 5 ln (2))

+1

Decimal Notation

0.85231 \dots

Solution steps

\frac{5}{2} ln (\frac{45}{32})

Apply log rule:

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

ln (\frac{45}{32}) = ln (45) - ln (32)

= \frac{5}{2} (ln (45) - ln (32))

ln (32) = 5 ln (2)

= \frac{5}{2} (ln (45) - 5 ln (2))

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Frequently Asked Questions (FAQ)

What is 5/2 ln(45/32) ?
The solution to 5/2 ln(45/32) is 5/2 (ln(45)-5ln(2))