Evaluate log₅ 125

Evaluate log₁₆ 8

If log_a m = n, express a^{n - 1} in terms of a and m.

Given log₂ x = m and log₅ y = n.

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

(ii) Express 5^{3n + 2} in terms of y.