How do you graph f(x)=-log_3(-x)?

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Feb 9, 2018

Why don't you use a base change?

Explanation:

Meaning that:

${\log}_{a} \left(x\right) = \ln \frac{x}{\ln} \left(a\right)$

We have: ${\log}_{3} \left(x\right) = \ln \frac{x}{\ln} \left(3\right)$
while we can say too that ${\log}_{3} \left(- x\right) = \ln \frac{- x}{\ln} \left(3\right)$
Therefore, $f \left(x\right) = - \frac{1}{\ln} \left(3\right) \left(\ln \left(- x\right)\right) , x < 0$

Now you can plot $f$ as a simple logarithmic (w/ base e) function (just be careful of the new domain and range). If you are familiar with function plotting then it is pretty simple.

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