Convert the following into exponential form:

(i) log₂32 = 5

(ii) log₃81 = 4

(iii) log₃$\dfrac{1}{3}$ = -1

(iv) log₈4 = $\dfrac{2}{3}$

(v) log₈32 = $\dfrac{5}{3}$

(vi) log₁₀ (0.001) = -3

(vii) log₂ 0.25 = -2

(viii) log_a $\Big(\dfrac{1}{a}\Big)$ = -1

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

Solve the following equation for x:

log_x25 = 2

Solve the following equation for x:

log₁₀x = -2