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what is the difference between \[\log_{8} (x^2)\] and \[2\log_{8} (x)\]

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log property \[\log_{b}a^b =b*\log_{b}a \]
My confusion is when graphing or finding the domain
ignore that i used b twice in the same side. a^c
when i graphed log8(x^2) it gives me a domain from (-00,0) U (0,00) while when using the power rule it is just from (0,00)
I don't get how that can happen..
x can be negative or positive when it is squared
Yes but aren't the two function equivalent ? and should therefore have the same domain
look at the first blue box rules there http://www.andrews.edu/~calkins/math/webtexts/numb17.htm
x>0
Thanks

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