What is simplify-ln(x)+2ln(x+1) ?

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

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simplify-ln(x)+2ln(x+1)

simplify

- ln (x) + 2 ln (x + 1)

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

Solution steps

- ln (x) + 2 ln (x + 1)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

ln (\frac{b}{x}) + ln (\frac{a}{x})

ln (x - 3) + ln (x + 5) - 2 ln (x)

ln (e^{5 x + 9}) - 4 ln^{3 x + 6} (x)

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

25 lo g_{2} (1 + 1010)

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