Express each of the following in logarithmic form :

(i) 5³ = 125

(ii) 3^-2 = $\dfrac{1}{9}$

(iii) 10^-3 = 0.001

(iv) $(81)^{\dfrac{3}{4}} = 27$

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

Find the logarithm of 100 to the base 10.

Find the logarithm of 0.1 to the base 10.