Find the logarithm of 100 to the base 10.

Let, ⇒ log 10 100 = x ⇒ 100 = 10 x ⇒ 10 2 = 10 x ⇒ x = 2. Hence, required value = 2.

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