What is ln(x^{13}sqrt(3-x)) ?

The solution to ln(x^{13}sqrt(3-x)) is 13ln(x)+ln(sqrt(3-x))

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simplify ln(x^{13}sqrt(3-x))

simplify

ln (x^{13} 3 - x)

13 ln (x) + ln (3 - x)

Solution steps

ln (x^{13} 3 - x)

Apply log rule:

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

ln (x^{13} 3 - x) = ln (x^{13}) + ln (3 - x)

= ln (x^{13}) + ln (- x + 3)

Apply log rule:

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

ln (x^{13}) = 13 ln (x)

= 13 ln (x) + ln (3 - x)

ln (\frac{e ^{4}}{14})

lo g_{10} (\frac{y}{2})

ln (\frac{5 x}{x ^{2} - 4})

4 ln (x + 1) - 3 ln (y)

What is ln(x^{13}sqrt(3-x)) ?
The solution to ln(x^{13}sqrt(3-x)) is 13ln(x)+ln(sqrt(3-x))