What is expand ln((x^7)/(sqrt(x^2-16))) ?

The solution to expand ln((x^7)/(sqrt(x^2-16))) is 7ln(x)-ln(sqrt(x^2-16))

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expand ln((x^7)/(sqrt(x^2-16)))

expand

ln (\frac{x ^{7}}{x ^{2} - 16})

7 ln (x) - ln (x^{2} - 16)

Solution steps

ln (\frac{x ^{7}}{x ^{2} - 16})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x ^{7}}{x ^{2} - 16}) = ln (x^{7}) - ln (x^{2} - 16)

= ln (x^{7}) - ln (x^{2} - 16)

Apply log rule:

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

ln (x^{7}) = 7 ln (x)

= 7 ln (x) - ln (x^{2} - 16)

ln (36 \cdot 1 5^{\frac{1}{2}}) + c

\frac{ln ( 4 ) - ln ( 3 )}{4 - 3}

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

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

ln (\frac{k ^{8}}{m ^{4}})

What is expand ln((x^7)/(sqrt(x^2-16))) ?
The solution to expand ln((x^7)/(sqrt(x^2-16))) is 7ln(x)-ln(sqrt(x^2-16))