# Thread: Transforming Logs.

1. ## Transforming Logs.

Please help...

What kind of transformation is represented by
log base b of x ----> log base (1/b) of x?

Thank You in advance

2. I would try some values for $x$ and $b$ and find the difference in their shapes.

3. Thank You, That really helps

4. ## Logs

$log_bx = a \ \ \ \ \ \ \ b^a = x \ \ \ \ \ \ \ \ \ \ \ \\ log_{\frac{1}{b}}x = a \ \ \ \ \ \ \ \ \ (\frac{1}{b})^a = x \ \ \ \ \ \$

Have a good day from Israel !

5. Sice the question is asking for teh type of transformation, would it be wrong if i answered , The transformation is reflected on the x-axis. Meaning the y-values are negative.!

Thank You for your help

6. Originally Posted by ASD2010
Sice the question is asking for teh type of transformation, would it be wrong if i answered , The transformation is reflected on the x-axis. Meaning the y-values are negative.!

Thank You for your help
I would answer in the following way: $\displaystyle \log_{\frac{1}{b}} (x) = - \log_b (x)$ therefore the transformation is reflection in the x-axis.

7. More specifically, $log_{\frac{1}{b}}(x)= \frac{log(x)}{log(\frac{1}{b})}= \frac{log(x)}{- log(b)}$ $= -\frac{log(x)}{log(b)}= -log_{b}(x)$