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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: logs doubt help plzzzz
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hary (100)

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Olaaa!! Perrrfect answer. 18  [23 rates]

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solve for x :  (x-2)x^2-6x+8 >1


DONT AIM FOR PERFECTION JUST ACHIEVE IT
    
little_genius (295)

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Olaaa!! Perrrfect answer. 53  [68 rates]

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(x-2)^(x-2)(x-4)>1
since (x-2) has to b >0 so we can take llog on both sides ..

taking log we get:

(x-2)(x-4)* log(x-2)>0...
now consider several cases:
i)2the abv lhs >0...so satisfies
ii) x=3
LHS=0 so does not satisfy..
iii)x>3
LHS<0 .. so doesnt satisfy.
iv) x=4
0.. so doesnt satisfy.
v) x>4
LHS>0 so satisfies...
so the solution is x =(2,3) U(4,infinity).....

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