If logab=2,logbc=2, and log3c=3+log3a then the value of c/(ab) is
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answer is 3.
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Detailed Solution
log3c=3+log3a or log3ca=3 or c=27a-----i logab=2;logbc=2⇒ logab⋅logbc=4⇒ logac=4⇒ c=a4From Eqs. (i) and (ii), we get a = 3, c = 81. From loga b=2,we have b =a2 =9. Hence, c/(ab) = 3.