Answer
There is no solution.
Work Step by Step
$\log(3x+4)=\log(x-10)$
Using the One-to-One Property:
$3x+4=x-10$
$2x=-14$
$x=-7$
Check the solution:
$\log(3x+4)=\log(3(-7)+4)=\log(-17)$. But the domain of $\log x$ is $(0,∞)$. So, $x=-7$ is not a valid solution.
