Solve the following equation.
\[
\log _{40} \mathrm{x}=0
\]

Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is \{\}
(Simplify your answer.)
B. The solution set is $\{x \mid x> 0, x \neq 1\}$.

Answer

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Answer

So, the final answer is $\boxed{\{1\}}$.

Steps

Step 1 ：The given equation is $\log _{40} \mathrm{x}=0$.

Step 2 ：The base of the logarithm is 40 and the argument is x. The equation is equal to 0.

Step 3 ：In general, for any base b, $\log_b{1} = 0$.

Step 4 ：Therefore, the solution to this equation is when x equals 1.

Step 5 ：So, the final answer is $\boxed{\{1\}}$.