What is expand ln(x^9sqrt(5-x)) ?

The solution to expand ln(x^9sqrt(5-x)) is 9ln(x)+ln(sqrt(5-x))

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expand ln(x^9sqrt(5-x))

expand

ln (x^{9} 5 - x)

9 ln (x) + ln (5 - x)

Solution steps

ln (x^{9} 5 - x)

Apply log rule:

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

ln (x^{9} 5 - x) = ln (x^{9}) + ln (5 - x)

= ln (x^{9}) + ln (- x + 5)

Apply log rule:

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

ln (x^{9}) = 9 ln (x)

= 9 ln (x) + ln (5 - x)

ln (\frac{t - 100}{- 80})

ln (\frac{1}{800000})

ln (\frac{5 + 0.9}{5})

ln (\frac{( x + 5 ) ^{8}}{x})

5 ln (2 x + 2) - 4 ln (x + 1)

What is expand ln(x^9sqrt(5-x)) ?
The solution to expand ln(x^9sqrt(5-x)) is 9ln(x)+ln(sqrt(5-x))