Problem

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.

Solution

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 \(x=\boxed{18.1195}\).

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Source: https://solvelyapp.com/problems/R9GQHCqIGw/

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