Given that logx 64 3 evaluate x log8

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Given that log_x 64 = 3, evaluate x log₈

Correct Option: C

If log_x 64 = 3, then 64 = x³

4³ = x³

Since the indices are equal,

x = 4

Hence, x log₂8 = log₂8^x

= log₂8⁴

= log₂(2³)₄

= log₂2¹²

= 1 log₂ = 1(1)

= 12