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Popular >

simplify ln(e^{x^2}x)

Solution

simplify

ln (e^{x^{2}} x)

Solution

x^{2} + ln (x)

Solution steps

ln (e^{x^{2}} x)

Apply log rule:

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

ln (e^{x^{2}} x) = ln (e^{x^{2}}) + ln (x)

= ln (e^{x^{2}}) + ln (x)

Apply log rule:

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

ln (e^{x^{2}}) = x^{2} ln (e)

= x^{2} ln (e) + ln (x)

x^{2} ln (e) = x^{2}

= x^{2} + ln (x)

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Frequently Asked Questions (FAQ)

What is ln(e^{x^2}x) ?
The solution to ln(e^{x^2}x) is x^2+ln(x)