Looking for Solution Feedback

• November 9th 2009, 08:18 AM
Looking for Solution Feedback
Could someone please review this problem that I have attempted to simplify. I'm not sure but I believe that I have completed everything correctly.

$log_{5}\frac{5^{-2x} (25)^y}{\sqrt{125^x}}$

$\Rightarrow\log_{5}5^{-2x}+\log_{5}25^{y}-\log_{5}\sqrt{125^{x}}$

$\Rightarrow\text{-}2x\log_{5}5+2y\log_{5}5-\frac{3x}{2}\log_{5}5$

$\Rightarrow\text{-}2x+2y-\frac{3x}{2}$

$\Rightarrow\frac{-7x}{2}+2y$

Any feedback is appreciated.
• November 9th 2009, 08:30 AM
skeeter
Quote:

Could someone please review this problem that I have attempted to simplify. I'm not sure but I believe that I have completed everything correctly.

$log_{5}\frac{5^{-2x} (25)^y}{\sqrt{125^x}}$

$\Rightarrow\log_{5}5^{-2x}+\log_{5}25^{y}-\log_{5}\sqrt{125^{x}}$

$\Rightarrow\text{-}2x\log_{5}5+2y\log_{5}5-\frac{3x}{2}\log_{5}5$

$\Rightarrow\text{-}2x+2y-\frac{3x}{2}$

$\Rightarrow\frac{-7x}{2}+2y$

Any feedback is appreciated.

looks fine to me.
• November 9th 2009, 08:34 AM