What is simplify-4ln((4+sqrt(16-x^2))/x) ?

The solution to simplify-4ln((4+sqrt(16-x^2))/x) is -4(ln(4+sqrt(16-x^2))-ln(x))

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simplify-4ln((4+sqrt(16-x^2))/x)

simplify

- 4 ln (\frac{4 + 16 - x ^{2}}{x})

- 4 (ln (4 + 16 - x^{2}) - ln (x))

Solution steps

- 4 ln (\frac{4 + 16 - x ^{2}}{x})

Apply log rule:

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

ln (\frac{4 + 16 - x ^{2}}{x}) = ln (4 + 16 - x^{2}) - ln (x)

= - 4 (ln (- x^{2} + 16 + 4) - ln (x))

= - 4 (ln (4 + 16 - x^{2}) - ln (x))

ln (\frac{28}{9})

ln (\frac{42}{50})

ln (\frac{x - y}{z})

ln (\frac{3 i}{n})

ln (\frac{343.15}{463.15})

What is simplify-4ln((4+sqrt(16-x^2))/x) ?
The solution to simplify-4ln((4+sqrt(16-x^2))/x) is -4(ln(4+sqrt(16-x^2))-ln(x))