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How do you solve #2ln(x+3) + ln(x-2) - (1/2)ln(x-2) = ln(x-2) - lnsqrt( x-2)#?

1 Answer

Jul 3, 2016

#x=-2#

Explanation:

#2ln(x+3)+ln(x-2)-1/2ln(x-2)=ln(x-2)-lnsqrt(x-2)#

#=>2ln(x+3)+cancel(ln(x-2))-cancel(lnsqrt(x-2))-cancel(ln(x-2))+cancel(lnsqrt(x-2))=0#

#=>ln(x+3)=0#

#=>x+3=e^0=1#

#:.x=1-3=-2#

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