What is ln(233955/388533)-ln(1-233955/388533) ?

The solution to ln(233955/388533)-ln(1-233955/388533) is ln(77985/51526)

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simplify ln(233955/388533)-ln(1-233955/388533)

simplify

ln (\frac{233955}{388533}) - ln (1 - \frac{233955}{388533})

ln (\frac{77985}{51526})

Decimal Notation

0.41442 \dots

Solution steps

ln (\frac{233955}{388533}) - ln (1 - \frac{233955}{388533})

Apply log rule:

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

ln (\frac{233955}{388533}) - ln (1 - \frac{233955}{388533}) = ln (\frac{\frac{233955}{388533}}{- \frac{233955}{388533} + 1})

= ln (\frac{\frac{233955}{388533}}{1 - \frac{233955}{388533}})

\frac{\frac{233955}{388533}}{1 - \frac{233955}{388533}} = \frac{77985}{51526}

= ln (\frac{77985}{51526})

(1.3)^{2} + ln (\frac{1}{1.3}) - ln (2 e^{1})

lo g_{4}^{2} (x) + lo g_{4} ((x))

- lo g_{10} (1.25 \cdot 1 0^{- 2})

lo g_{9} (\frac{9}{y})

ln (c) - 5 ln (x)

What is ln(233955/388533)-ln(1-233955/388533) ?
The solution to ln(233955/388533)-ln(1-233955/388533) is ln(77985/51526)