If log 27 = 1.431, find the value of :

(i) log 9

(ii) log 300

If log₅ x = y, find 5^{2y + 3} in terms of x.

Given :

log₃ m = x and log₃ n = y

(i) Express 3^{2x - 3} in terms of m.

(ii) Write down 3^{1 - 2y + 3x} in terms of m and n.

(iii) If 2 log₃ A = 5x - 3y; find A in terms of m and n.