By converting to exponential form, find the value of each of the following: (i) log₂ 64 (ii) log₈ 32 (iii) log₃ (iv) log₀.₅ (16) (v) log₂ (0.125) (vi) log₇ 7

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If log₁₀ x = p and log₁₀ y = q, show that xy = (10)^{p + q}.