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Mathematics 22 Online
OpenStudy (chiunlee12):

Logarithms help

OpenStudy (chiunlee12):

OpenStudy (chiunlee12):

I keep getting a wrong answer: - The answer is x=3 by the way.

OpenStudy (518nad):

okay this is one of the log rules log(A^B) = B Log A

OpenStudy (518nad):

are you aware of this?

OpenStudy (chiunlee12):

Yes

OpenStudy (518nad):

thus we can reduce this problem to (x-1)^2=(x+1)

OpenStudy (518nad):

(x-1)^2=(x+1) 3 is definitely a solution of this

OpenStudy (518nad):

u can tell by checking (3-1)^2=4 and (3+1)=4

OpenStudy (chiunlee12):

Oh, okay, thank you

OpenStudy (518nad):

but to actually solve it expand the square and collect like terms

OpenStudy (chiunlee12):

Yeah, I got it now :D

OpenStudy (518nad):

okay :)

OpenStudy (chiunlee12):

So, x=0 would be an extraneous root, Im guessing?, because log(0) cannot exist?

OpenStudy (518nad):

yes x=0 is also a solution!

OpenStudy (518nad):

yep

OpenStudy (518nad):

it is a solution of the quadratic but not defined on the log

OpenStudy (518nad):

forever its not undefined since ln(0) does converge to -inf

OpenStudy (518nad):

however*

OpenStudy (518nad):

i guess i should say diverge to -inf

OpenStudy (mathmale):

@chiunlee12: satisfied, or still need further help?"

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