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Popular >

simplify 1/2 ln(110/125)

Solution

simplify

\frac{1}{2} ln (\frac{110}{125})

Solution

\frac{1}{2} (ln (110) - 3 ln (5))

+1

Decimal Notation

- 0.06391 \dots

Solution steps

\frac{1}{2} ln (\frac{110}{125})

Apply log rule:

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

ln (\frac{110}{125}) = ln (110) - ln (125)

= \frac{1}{2} (ln (110) - ln (125))

ln (125) = 3 ln (5)

= \frac{1}{2} (ln (110) - 3 ln (5))

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Frequently Asked Questions (FAQ)

What is 1/2 ln(110/125) ?
The solution to 1/2 ln(110/125) is 1/2 (ln(110)-3ln(5))