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Popular >

simplify ln(xe^{at})

Solution

simplify

ln (x e^{a t})

Solution

ln (x) + a t

Solution steps

ln (x e^{a t})

Apply log rule:

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

ln (x e^{a t}) = ln (x) + ln (e^{a t})

= ln (x) + ln (e^{a t})

Apply log rule:

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

ln (e^{a t}) = a t ln (e)

= ln (x) + a t ln (e)

a t ln (e) = a t

= ln (x) + a t

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Frequently Asked Questions (FAQ)

What is ln(xe^{at}) ?
The solution to ln(xe^{at}) is ln(x)+at