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Ask iit jee aieee pet cbse icse state board experts Expert Question: Calculus
Forum Index -> Differential Calculus like the article? email it to a friend.  
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Sree (2)

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Find Domain?
f(x)=log0.5(log((3x+2)/(3x-1))).
    
subs (79)

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(1/3,inf)

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nik_d_1 (177)

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(-inf,-2/3) U (1/3, inf)




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iitkgp_bipin (6144)

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log is defined for positive quantities.

(log((3x+2)/(3x-1)) > 0

(3x+2)/(3x-1) > 100

(3x+2)/(3x-1) - 1 > 0

3/(3x-1) > 0

So domain is given by :

x (1/3,)


Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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