If x = log 0.6; y = log 1.25 and z = log 3 - 2 log 2, find the values of : (i) x + y - z (ii) 5 x + y - z

(i) Substituting values of x, y and z in equation x + y - z, we get : ⇒ log 0.6 + log 1.25 - (log 3 - 2 log 2) ⇒ log 0.6 + log 1.25 - log 3 + 2 log 2 ⇒ log 0.6 + log 1.25 + log 2 2 - log 3 ⇒ log ⇒ log ⇒ log 1 ⇒ 0. Hence, x + y - z = 0. (ii) Substituting value of x + y - z from part (i) in 5 x + y - z , we get : ⇒ 5 0 ⇒ 1. Hence, 5 x + y - z = 1.