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Popular >

simplify ln(ye^{x+y})

Solution

simplify

ln (y e^{x + y})

Solution

ln (y) + x + y

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) = x + y

= ln (y) + x + y

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Frequently Asked Questions (FAQ)

What is ln(ye^{x+y}) ?
The solution to ln(ye^{x+y}) is ln(y)+x+y