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Popular >

simplify 25/8 ln(5/4)

Solution

simplify

\frac{25}{8} ln (\frac{5}{4})

Solution

\frac{25}{8} (ln (5) - 2 ln (2))

+1

Decimal Notation

0.69732 \dots

Solution steps

\frac{25}{8} ln (\frac{5}{4})

Apply log rule:

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

ln (\frac{5}{4}) = ln (5) - ln (4)

= \frac{25}{8} (ln (5) - ln (4))

ln (4) = 2 ln (2)

= \frac{25}{8} (ln (5) - 2 ln (2))

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Frequently Asked Questions (FAQ)

What is 25/8 ln(5/4) ?
The solution to 25/8 ln(5/4) is 25/8 (ln(5)-2ln(2))