1. The problem statement, all variables and given/known data

solve the log x²-4x-5 on the base x-2.

2. Relevant equations

I read a comment from someone that also saw the question that says:

3. The attempt at a solution

If it was x²-4x+4, that would be igual (x-2)² and the answer would be 2, but I have no idea the guy got these broken numbers. Making what equal to zero?
the x²-4x-5? Doesn't make sense.

It's the base of the log, [itex](x-2) ^ {y} = x² -4x -5[/itex]. The statement is to solve it.

From a video where the presenter receives random questions about several subjects. Someone asked it, a comment about it mentioned the roots and I got curious about whether this has a solution or not.