What is expand ln((xsqrt(x-4))/(x^5+7)) ?

The solution to expand ln((xsqrt(x-4))/(x^5+7)) is ln(x)+ln(sqrt(x-4))-ln(x^5+7)

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expand ln((xsqrt(x-4))/(x^5+7))

expand

ln (\frac{x x - 4}{x ^{5} + 7})

ln (x) + ln (x - 4) - ln (x^{5} + 7)

Solution steps

ln (\frac{x x - 4}{x ^{5} + 7})

Apply log rule:

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

ln (\frac{x x - 4}{x ^{5} + 7}) = ln (x x - 4) - ln (x^{5} + 7)

= ln (x x - 4) - ln (x^{5} + 7)

Apply log rule:

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

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

= ln (x) + ln (x - 4) - ln (x^{5} + 7)

3 ln (x) + 5 ln (y)

lo g_{10} (\frac{6 z}{10})

lo g_{b} (\frac{x y}{z})

ln (3) + 4 ln (2)

ln (k \cdot x^{n})

What is expand ln((xsqrt(x-4))/(x^5+7)) ?
The solution to expand ln((xsqrt(x-4))/(x^5+7)) is ln(x)+ln(sqrt(x-4))-ln(x^5+7)