Solve.
\[
5 \ln x=-10
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $x=$
(Type an integer or a decimal. Round to the nearest thousandth. Use a comma to separate answers.)
B. The solution is not a real number.

Answer

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Answer

The solution to the equation is $\boxed{0.135}$.

Steps

Step 1 ：Divide both sides of the equation by 5 to get $\ln x = -2$.

Step 2 ：Exponentiate both sides of the equation to get $x = e^{-2}$.

Step 3 ：Calculate the value of $x$ to get $x = 0.1353352832366127$.

Step 4 ：Round the value of $x$ to the nearest thousandth to get $x = 0.135$.

Step 5 ：The solution to the equation is $\boxed{0.135}$.