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Popular >

simplify ln(ye^{-ypi})

Solution

simplify

ln (y e^{- y π})

Solution

ln (y) - π y

Solution steps

ln (y e^{- y π})

Apply log rule:

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

ln (y e^{- y π}) = ln (y) + ln (e^{- y π})

= ln (y) + ln (e^{- π y})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{- y π}) = - y π ln (e)

= ln (y) - y π ln (e)

y π ln (e) = π y

= ln (y) - π y

Popular Examples

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ln (2 π \cdot 501.24 \cdot 0.98 \cdot 111.2 \cdot 1 0^{- 6})

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\frac{1}{4} ln (\frac{1}{4})

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ln (\frac{0.34}{0.32})

Frequently Asked Questions (FAQ)

What is ln(ye^{-ypi}) ?
The solution to ln(ye^{-ypi}) is ln(y)-piy