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

Problem

(log_)(x2*y3)

Solution

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

(log_)(x2*y3)=(log_)(x2)+(log_)(y3)

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

(log_)(x2)+(log_)(y3)=2*(log_)(x)+3*(log_)(y)

Final Answer

(log_)(x2*y3)=2*(log_)(x)+3*(log_)(y)

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