Expand the Logarithmic Expression natural log of x^3y^2

Problem

ln(x3*y2)

Solution

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

ln(x3*y2)=ln(x3)+ln(y2)

2. Apply the power rule for logarithms, which states that ln(an)=n*ln(a) to both terms.

ln(x3)+ln(y2)=3*ln(x)+2*ln(y)

Final Answer

ln(x3*y2)=3*ln(x)+2*ln(y)

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