Transforming Logs.

**ASD2010** · July 27th 2010, 05:45 PM

Please help...

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

Thank You in advance

**pickslides** · July 27th 2010, 05:48 PM

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

**ASD2010** · July 27th 2010, 07:43 PM

Thank You, That really helps

**yehoram** · July 27th 2010, 09:49 PM

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

Have a good day from Israel !

**ASD2010** · July 27th 2010, 09:58 PM

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

**mr fantastic** · July 28th 2010, 01:04 AM

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.