Solve for $x$ \[ \ln (5 x-6)=\ln 5 \] \[ x= \]

Step 1 ：The natural logarithm function is a one-to-one function, which means that if \(\ln a = \ln b\), then \(a = b\). So, we can set the arguments of the two logarithms equal to each other and solve for \(x\).

Step 2 ：\(5x - 6 = 5\)

Step 3 ：Solving for \(x\), we get \(x = \frac{11}{5}\)

Step 4 ：The solution to the equation is \(\boxed{\frac{11}{5}}\)