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Popular >

simplify ln(5e^{5u})

Solution

simplify

ln (5 e^{5 u})

Solution

ln (5) + 5 u

Solution steps

ln (5 e^{5 u})

Apply log rule:

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

ln (5 e^{5 u}) = ln (5) + ln (e^{5 u})

= ln (5) + ln (e^{5 u})

Apply log rule:

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

ln (e^{5 u}) = 5 u ln (e)

= ln (5) + 5 u ln (e)

5 u ln (e) = 5 u

= ln (5) + 5 u

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Frequently Asked Questions (FAQ)

What is ln(5e^{5u}) ?
The solution to ln(5e^{5u}) is ln(5)+5u