Use the properties of logarithms to expand the logarithmic expression. Wherever possible, evaluate logarithmic expressions. \[ \ln \left(\frac{a^{3} b^{4}}{c^{2}}\right) \] $\ln \left(\frac{a^{3} b^{4}}{c^{2}}\right)=\square$ (Type an exact answer in simplified form.)

Step 1 ：Use the properties of logarithms to expand the logarithmic expression

Step 2 ：Apply the quotient rule: the logarithm of a quotient is equal to the difference of the logarithms of the numerator and the denominator

Step 3 ：Apply the power rule: the logarithm of a number raised to a power is equal to the power times the logarithm of the number

Step 4 ：Expand the expression: \( \ln \left(\frac{a^{3} b^{4}}{c^{2}}\right) = \ln(a^{3}) + \ln(b^{4}) - \ln(c^{2}) \)

Step 5 ：\( \boxed{\ln(a^{3}) + \ln(b^{4}) - \ln(c^{2})} \)