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Popular >

simplify ln(x^xln(x))

Solution

simplify

ln (x^{x} ln (x))

Solution

x ln (x) + ln (ln (x))

Solution steps

ln (x^{x} ln (x))

Apply log rule:

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

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

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

Apply log rule:

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

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

= x ln (x) + ln (ln (x))

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Frequently Asked Questions (FAQ)

What is ln(x^xln(x)) ?
The solution to ln(x^xln(x)) is xln(x)+ln(ln(x))