QuestionSolve the equation: $\log _{3}(x-5)+\log _{3}(x-11)=3$.

Studdy Solution
olving for x gives$$x=14 \quad or \quad x=$$However, if we substitute $x=$ back into the original equation, we get a negative number inside the logarithm, which is undefined. Therefore, the only solution is $x=14$.