What is ln(sqrt(1-x))-ln(sqrt(1+x)) ?

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

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simplify ln(sqrt(1-x))-ln(sqrt(1+x))

simplify

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

ln (\frac{1 - x}{1 + x})

Solution steps

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

Apply log rule:

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

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

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

Combine same powers :

\frac{x}{y} = \frac{x}{y}

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

ln (β \cdot γ^{α X})

ln (\frac{9 e ^{\frac{4 x}{117}}}{13})

ln (243) - ln (250)

ln (\frac{5 + 1}{2})

lo g_{6} (\frac{u}{v})

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