loga (ab) = c হলে logb (ab) = ?

প্রশ্ন: loga (ab) = c হলে logb (ab) = ?সমাধান:দেওয়া আছে,loga (ab) = c⇒ loga a + loga b = c⇒ 1 + loga b = c⇒ loga b = c - 1⇒ 1/logb a = c - 1⇒ logb a = 1/(c -1)∴ logb (ab)= logb a + logb b = {1/(c - 1)} + 1= (1 + c - 1)/(c - 1)= c/(c - 1)