Expand the Logarithmic Expression natural log of x(x+1)(x+2)

Problem

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

Solution

1. Identify the expression as a natural logarithm of a product of three factors: x (x+1) and (x+2)

2. Apply the product rule for logarithms, which states that ln(a*b*c)=ln(a)+ln(b)+ln(c)

3. Expand the expression by writing the logarithm of the product as the sum of the logarithms of each individual factor.

Final Answer

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

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