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 2² - log 3

⇒ log $\dfrac{0.6 \times 1.25 \times 2^2}{3}$

⇒ log $0.2 \times 1.25 \times 4$

⇒ 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 :

⇒ 5⁰

⇒ 1.

Hence, 5^{x + y - z} = 1.