Step 1 :Solve the equation \(\log _{5} \mathrm{x}=1.8\).
Step 2 :To solve for x, we rewrite the equation in exponential form: \(x = 5^{1.8}\).
Step 3 :Calculate \(x = 5^{1.8}\) to get the numerical value of x.
Step 4 :The numerical value of x is approximately 18.1195.
Step 5 :So, the solution to the equation \(\log _{5} \mathrm{x}=1.8\) is \(x=\boxed{18.1195}\).