What is expand ln(x^{11}sqrt(4-x)) ?

The solution to expand ln(x^{11}sqrt(4-x)) is 11ln(x)+ln(sqrt(4-x))

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expand ln(x^{11}sqrt(4-x))

expand

ln (x^{11} 4 - x)

11 ln (x) + ln (4 - x)

Solution steps

ln (x^{11} 4 - x)

Apply log rule:

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

ln (x^{11} 4 - x) = ln (x^{11}) + ln (4 - x)

= ln (x^{11}) + ln (- x + 4)

Apply log rule:

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

ln (x^{11}) = 11 ln (x)

= 11 ln (x) + ln (4 - x)

ln (\frac{3 ^{n}}{θ ^{3 n}})

ln (\frac{1 - sin ( x )}{1 + sin ( x )})

0.0296 (46 e^{(\frac{l n ( 263 ) - l n ( 46 )}{30}) \cdot 2})

2 ln (\frac{y}{x}) + ln (x)

lo g_{2} (0.05) + lo g_{2} (0.1)

What is expand ln(x^{11}sqrt(4-x)) ?
The solution to expand ln(x^{11}sqrt(4-x)) is 11ln(x)+ln(sqrt(4-x))