Solve the following exponential equation. \[ 3^{\mathrm{x}}=8 \] Select the correct choice below and, if necessary, fill in the answer box. A. $x=8$ (Round to three decimal places as needed. Use a comma to separat B. The solution is not a real number.

Step 1 ：Given the exponential equation \(3^x = 8\).

Step 2 ：We can solve for x by taking the natural logarithm (ln) of both sides. This gives us \(x \cdot ln(3) = ln(8)\).

Step 3 ：Solving for x, we get \(x = \frac{ln(8)}{ln(3)}\).

Step 4 ：Calculating the above expression, we find that \(x \approx 1.893\).

Step 5 ：\(\boxed{x \approx 1.893}\) is the solution to the equation \(3^x = 8\).