If x = (100) a , y = (10000) b and z = (10) c , find log in terms of a, b and c.

Given, ⇒ x = (100) a ⇒ x = (10 2 ) a ⇒ x = 10 2a ..........(1) Given, ⇒ y = (10000) b ⇒ y = (10 4 ) b ⇒ y = 10 4b ..........(2) Given, ⇒ z = 10 c ..........(3) Substituting value of x, y and z from equations (1), (2) and (3) respectively in log , we get : Hence, log = 2b + 1 - 4a - 3c.