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

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

1
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.

• 11 minutes ago
• 11 minutes ago
• 13 minutes ago
• 14 minutes ago
• A minute ago
• 5 minutes ago
• 5 minutes ago
• 6 minutes ago
• 6 minutes ago
• 8 minutes ago
• 11 minutes ago
• 11 minutes ago
• 13 minutes ago
• 14 minutes ago