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Popular >

simplify ln(7e^{5y})

Solution

simplify

ln (7 e^{5 y})

Solution

ln (7) + 5 y

Solution steps

ln (7 e^{5 y})

Apply log rule:

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

ln (7 e^{5 y}) = ln (7) + ln (e^{5 y})

= ln (7) + ln (e^{5 y})

Apply log rule:

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

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

= ln (7) + 5 y ln (e)

5 y ln (e) = 5 y

= ln (7) + 5 y

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Frequently Asked Questions (FAQ)

What is ln(7e^{5y}) ?
The solution to ln(7e^{5y}) is ln(7)+5y