What is simplify-1/4+ln(5/4)+ln(3/4) ?

The solution to simplify-1/4+ln(5/4)+ln(3/4) is -1/4+ln(15/16)

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simplify-1/4+ln(5/4)+ln(3/4)

simplify

- \frac{1}{4} + ln (\frac{5}{4}) + ln (\frac{3}{4})

- \frac{1}{4} + ln (\frac{15}{16})

Decimal Notation

- 0.31453 \dots

Solution steps

- \frac{1}{4} + ln (\frac{5}{4}) + ln (\frac{3}{4})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (\frac{5}{4}) + ln (\frac{3}{4}) = ln (\frac{5}{4} \cdot \frac{3}{4})

= - \frac{1}{4} + ln (\frac{5}{4} \cdot \frac{3}{4})

\frac{5}{4} \cdot \frac{3}{4} = \frac{15}{16}

= - \frac{1}{4} + ln (\frac{15}{16})

ln (p^{5} \cdot q)

2 ln (3) - ln (4) + ln (2)

ln (\frac{( 0.667 - 1 )}{( \frac{2}{3} \cdot 0.8749 - 1 )})

\frac{π}{8} ln (6)

What is simplify-1/4+ln(5/4)+ln(3/4) ?
The solution to simplify-1/4+ln(5/4)+ln(3/4) is -1/4+ln(15/16)