What is ln(1-sqrt(1-x^2))-ln(x) ?

The solution to ln(1-sqrt(1-x^2))-ln(x) is ln((1-sqrt(1-x^2))/x)

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simplify ln(1-sqrt(1-x^2))-ln(x)

simplify

ln (1 - 1 - x^{2}) - ln (x)

ln (\frac{1 - 1 - x ^{2}}{x})

Solution steps

ln (1 - 1 - x^{2}) - ln (x)

Apply log rule:

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

ln (1 - 1 - x^{2}) - ln (x) = ln (\frac{- - x ^{2} + 1 + 1}{x})

= ln (\frac{1 - 1 - x ^{2}}{x})

ln (1) - ln (2) - ln (3)

ln (3 \cdot 1 5^{3})

- lo g_{10} (4.5 \cdot 1 0^{- 6})

4 (ln (z) + ln (z + 5)) - 4 ln (z - 4)

ln (\frac{5}{2} e^{- x})

What is ln(1-sqrt(1-x^2))-ln(x) ?
The solution to ln(1-sqrt(1-x^2))-ln(x) is ln((1-sqrt(1-x^2))/x)