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Popular >

simplify ln(p)+ln(1-p)

Solution

simplify

ln (p) + ln (1 - p)

Solution

ln (p (1 - p))

Solution steps

ln (p) + ln (1 - p)

Apply log rule:

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

ln (p) + ln (1 - p) = ln (p (- p + 1))

= ln (p (1 - p))

Popular Examples

simplify-log_{10}(7.8*10^{-3})simplify

- lo g_{10} (7.8 \cdot 1 0^{- 3})

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4 + 2 ln (\frac{2 + 1}{2 - 1})

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lo g_{8} (\frac{x ^{3} cos ( x )}{3 x + 1})

expand ln((e^8)/5)expand

ln (\frac{e ^{8}}{5})

simplify log^{-1}_{10}((0.1)/(20))-1 simplify

lo g_{10}^{- 1} (\frac{0.1}{20}) - 1

Frequently Asked Questions (FAQ)

What is ln(p)+ln(1-p) ?
The solution to ln(p)+ln(1-p) is ln(p(1-p))