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The solution set of the inequality log 1/2 x+log 3 x >1 is a.(0,3^(1/(1-log 3 2)) b. (0,3^(1/(1-log 2 3)) c.(0,2^(1/(1-log 3 2)) d. (0,2^(1/(1-log 2 3))

The solution set of the inequality


log 1/2 x+log 3 x >1 is


a.(0,3^(1/(1-log32))


b. (0,3^(1/(1-log23))


c.(0,2^(1/(1-log32))


d. (0,2^(1/(1-log23))

Grade:12

1 Answers

AskIITianExpert Srijan.iitd
8 Points
11 years ago

the answer is c.

change the base of the first term to 3 ,maipulate the inequality.take care that log32is smaller than 1.

it simply turns out to be c.

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