Write the given expression in condensed form. \[ \frac{1}{2} \ln x+9 \ln y \] \[ \frac{1}{2} \ln x+9 \ln y= \] (Type an exact answer. Use integers or fractions for any numbers in the expression.)

Step 1 ：Given the expression \(\frac{1}{2} \ln x+9 \ln y\)

Step 2 ：According to the properties of logarithms, the sum of two logarithms with the same base can be written as the logarithm of the product of the numbers. Specifically, we have the property that \(\ln a + \ln b = \ln (ab)\)

Step 3 ：In this case, we have a coefficient in front of each logarithm. The coefficient of a logarithm can be moved to the exponent of the argument of the logarithm. Specifically, we have the property that \(c \ln a = \ln (a^c)\)

Step 4 ：So, we can apply these properties to the given expression to write it in a condensed form

Step 5 ：The given expression in condensed form is \(\ln \left(x^{\frac{1}{2}} y^{9}\right)\)

Step 6 ：Final Answer: \(\boxed{\ln \left(x^{\frac{1}{2}} y^{9}\right)}\)