Express each of the following in exponential form :

(i) log₈ 0.125 = -1

(ii) log₁₀ 0.01 = -2

(iii) log_a A = x

(iv) log₁₀ 1 = 0

(i) Given,

⇒ log₈ 0.125 = -1

⇒ 8^-1 = 0.125

Hence, required exponential form is 8^-1 = 0.125

(ii) Given,

⇒ log₁₀ 0.01 = -2

⇒ 10^-2 = 0.01

Hence, required exponential form is 10^-2 = 0.01

(iii) Given,

⇒ log_a A = x

⇒ a^x = A.

Hence, required exponential form is a^x = A.

(iv) Given,

⇒ log₁₀ 1 = 0

⇒ 10⁰ = 1.

Hence, required exponential form is 10⁰ = 1.