What is expand ln((1-p)*e^{-2x}+(p*e)/2) ?

The solution to expand ln((1-p)*e^{-2x}+(p*e)/2) is ln(e^{-2x}-e^{-2x}p+(ep)/2)

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expand ln((1-p)e^{-2x}+(pe)/2)

expand

ln ((1 - p) \cdot e^{- 2 x} + \frac{p \cdot e}{2})

ln (e^{- 2 x} - e^{- 2 x} p + \frac{e p}{2})

Solution steps

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

Expand

(1 - p) e^{- 2 x} + \frac{p e}{2} : e^{- 2 x} - e^{- 2 x} p + \frac{p e}{2}

= ln (e^{- 2 x} - e^{- 2 x} p + \frac{e p}{2})

\frac{d}{d y} ((x) (\frac{y ^{2} + 2 y}{8} - ln (y + 1)))

\frac{3 ( 3 3 + 43 )}{4}

\frac{12 h}{14 h}

\frac{2 s ^{2} + 16 s + 34}{( s + 4 ) ( s ^{2} + 4 s + 13 )}

x^{5} (14 (1 + 2 x)^{6})

What is expand ln((1-p)*e^{-2x}+(p*e)/2) ?
The solution to expand ln((1-p)*e^{-2x}+(p*e)/2) is ln(e^{-2x}-e^{-2x}p+(ep)/2)