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Popular >

simplify ln(xye^{yz})

Solution

simplify

ln (x y e^{yz})

Solution

ln (x) + ln (y) + yz

Solution steps

ln (x y e^{yz})

Apply log rule:

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

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

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

Apply log rule:

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

ln (e^{yz}) = yz ln (e)

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

yz ln (e) = yz

= ln (x) + ln (y) + yz

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Frequently Asked Questions (FAQ)

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