Solution set of the inequality log7x−2x−3<0 is
(−∞,2)
As the argument of a logarithm should be greater than zero
⇒x−2x−3>0
log7x−2x−3<0
⇒x−2x−3<1
⇒x−2x−3>0 and x−2x−3−1<0
⇒x<2;x>3 and x<3
The intersection of both solutions is
⇒x<2
Thus, solution set is (−∞,2)