Please help...

What kind of transformation is represented by

log base b of x ----> log base (1/b) of x?

Thank You in advance :)

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- Jul 27th 2010, 05:45 PMASD2010Transforming 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 :) - Jul 27th 2010, 05:48 PMpickslides
I would try some values for $\displaystyle x$ and $\displaystyle b$ and find the difference in their shapes.

- Jul 27th 2010, 07:43 PMASD2010
Thank You, That really helps :)

- Jul 27th 2010, 09:49 PMyehoramLogs
$\displaystyle log_bx = a \ \ \ \ \ \ \ b^a = x \ \ \ \ \ \ \ \ \ \ \ \\ log_{\frac{1}{b}}x = a \ \ \ \ \ \ \ \ \ (\frac{1}{b})^a = x \ \ \ \ \ \ $

Have a good day from Israel !(Hi) - Jul 27th 2010, 09:58 PMASD2010
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 :) - Jul 28th 2010, 01:04 AMmr fantastic
- Jul 28th 2010, 02:52 AMHallsofIvy
More specifically, $\displaystyle log_{\frac{1}{b}}(x)= \frac{log(x)}{log(\frac{1}{b})}= \frac{log(x)}{- log(b)}$$\displaystyle = -\frac{log(x)}{log(b)}= -log_{b}(x)$