The problem involves solving a logarithmic equation where the logarithm is expressed in terms of a quadratic expression and a base that is also a function of the variable. The specific equation presented is log(x² - 4x - 5) with the base (x - 2).
The discussion is ongoing, with participants raising questions about the formulation of the problem and the meaning of the base. There is a recognition that the original question may not be well-defined, and some guidance has been offered regarding the interpretation of the logarithmic equation.
Participants note that the equation may not have a clear solution and express uncertainty about the context from which the question originated. There is mention of a video source that prompted the inquiry, which may contribute to the ambiguity of the problem.
making the equation equal to zero, the x values became approximately: 5.1623 and -1.1623
First of all: There is no equation to be solved in your thread.colt said:Homework Statement
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solve the log x²-4x-5 on the base x-2.
Homework Equations
I read a comment from someone that also saw the question that says:
making the equation equal to zero, the x values became approximately: 5.1623 and -1.1623
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.
SammyS said:First of all: There is no equation to be solved in your thread.
Third: What do you mean by " base x-2 " ?
haruspex said:Where does the question come from?
Ok, so we should not be too surprised that the question makes no sense.colt said:It's the base of the log, (x-2) ^ {y} = x² -4x -5. 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.