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Popular >

simplify ln(y*e^{xy})

Solution

simplify

ln (y \cdot e^{x y})

Solution

ln (y) + y x

Solution steps

ln (y e^{x y})

Apply log rule:

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

ln (y e^{x y}) = ln (y) + ln (e^{x y})

= ln (y) + ln (e^{y x})

Apply log rule:

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

ln (e^{x y}) = x y ln (e)

= ln (y) + x y ln (e)

x y ln (e) = y x

= ln (y) + y x

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Frequently Asked Questions (FAQ)

What is ln(y*e^{xy}) ?
The solution to ln(y*e^{xy}) is ln(y)+yx