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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

\frac{1}{75} ln (\frac{1}{2})

\frac{100}{2 \cdot π \cdot 100} \cdot ln (\frac{4 + 2 \cdot 10 0 ^{2}}{25})

ln (\frac{0.1524}{k} \cdot 3.71)

lo g_{b} (\frac{y}{10})

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