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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= ln (x) + 2 ln (x + 1)

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Frequently Asked Questions (FAQ)

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