Solve the following equation for x: log^x 25 = 2

Given, ⇒ log x 25 = 2 ⇒ 25 = x 2 ⇒ 5 2 = x 2 ⇒ x = 5. Hence, x = 5.

By converting to exponential form, find the values of :
(i) log₂16
(ii) log₅125
(iii) log₄8
(iv) log₉27
(v) log₁₀ (0.01)
(vi) log₇ $\dfrac{1}{7}$
(vii) log_0.5 256
(viii) log₂ 0.25