QuestionSolve for $x$. $$-\log _{4}(x-4)=1-\log _{4}(x-7)$$
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". $$x=$$ $\square$
No solution

Studdy Solution
Check the validity of the solution $x = 3$ within the domain:
For the logarithms to be defined, both $x-4 > 0$ and $x-7 > 0$ must hold true.
Check $x-4 > 0$:
$$3 - 4 = -1$$
Check $x-7 > 0$:
$$3 - 7 = -4$$
Both conditions are not satisfied, indicating that $x = 3$ is not within the domain of the original logarithmic expressions.
Since there is no valid solution within the domain, we conclude:
No solution