Thursday 26 November 2015

How do you approach a logarithm question with absolute value at its base?

So I'm a third year high school student and I'm stuck at this question. How do you approach this logarithm to get the domain of x?



$$\log_{|1-x|}(x+5) > 2$$



The answer is $-1 < x < 0$ and $2 < x < 4$



Also, how do you graph the logarithm function with an absolute value? I tried desmos but it doesnt seem to allow adding absolute value in the log base.

Thank you very much.

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