Solve the equation.
\[
\log _{5} \mathrm{x}=1.8
\]

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is $x=\square$. (Simplify your answer. Type an integer or decimal rounded to four decimal places as needed.)
B. There is no solution.

Answer

Expert–verified

Hide Steps

Answer

So, the solution to the equation $\log _{5} \mathrm{x}=1.8$ is $x=\boxed{18.1195}$.

Steps

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 $x=\boxed{18.1195}$.