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17 Jun 2009 17:16:46 IST

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What is the domain of loglxl ?

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What is the domain for log_elxl ???

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Nishant Pandey

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Joined: 10 Dec 2007

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17 Jun 2009 17:20:25 IST

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real numbers except zero.

NugoRama

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17 Jun 2009 17:23:08 IST

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Exactly ...

Domain is nothing but all those values a function can take in ..

we know domain of logx is all positive numbers ..

but for log |x|

the mod sign converts the negative numbers to positive ..henve making them eligible too..

so domain is all real numbers except zero.

Shruti

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Joined: 4 Jun 2009

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20 Jun 2009 14:52:52 IST

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ya thats right.since in this case we have |x| this means that all neative values of x will be converted into positive.since log is defined for all positive nos. hence in this case x can take up all real values except 0(not 0 as log function is not defined at 0.it tends to -infinity)

hence x belongs to R - {0}

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