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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Simplify

\frac{\frac{x}{x + 1}}{x + 1} : \frac{x}{( x + 1 ) ^{2}}

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

ln (e^{- x} (x + 0.8))

ln ((4 a)^{3})

lo g_{5} (\frac{x ^{5}}{y ^{4}})

ln (\frac{( 8.9 - 2 ) ^{2}}{∣ 8.9 - 3 ∣}) + C

2 ln (2) + \frac{9}{5} ln (4) + \frac{1}{5} ln (- 1)

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