Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1 . All exponents should be positive.
\[
\ln (12)+8 \ln (x)-9 \ln (y)
\]

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Answer

Thus, the simplified form of the given expression is \(\boxed{\ln (12x^8/y^9)}\)

Steps

Step 1 ：Given the expression \(\ln (12)+8 \ln (x)-9 \ln (y)\)

Step 2 ：Using the properties of logarithms, we can rewrite the expression as \(\ln (12) + \ln (x^8) - \ln (y^9)\)

Step 3 ：Further simplifying, we get \(\ln (12x^8/y^9)\)

Step 4 ：Thus, the simplified form of the given expression is \(\boxed{\ln (12x^8/y^9)}\)