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Question

Solution set of the inequality log7x2x3<0 is


A

(,2)

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B

(2,)

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C

(,3)

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D

(3,)

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Solution

The correct option is A

(,2)


As the argument of a logarithm should be greater than zero
x2x3>0

log7x2x3<0
x2x3<1

x2x3>0 and x2x31<0
x<2;x>3 and x<3
The intersection of both solutions is
x<2
Thus, solution set is (,2)


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