Simplify/Condense 3 natural log of x+ natural log of y

Problem

3*ln(x)+ln(y)

Solution

1. Apply the power property of logarithms, which states that n*ln(a)=ln(an) to the first term.

ln(x3)+ln(y)

2. Apply the product property of logarithms, which states that ln(a)+ln(b)=ln(a*b) to combine the two terms into a single logarithm.

ln(x3⋅y)

3. Simplify the expression inside the natural logarithm.

ln(x3*y)

Final Answer

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

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