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What is the value of log_(4)64 ? Answer:

Evaluate.\newlinelog⁡464\log _{4} 64 \newlineWrite your answer in simplest form.

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Full solution

Q. Evaluate.\newlinelog⁡464\log _{4} 64 \newlineWrite your answer in simplest form.
  1. Recognize Relationship: Recognize the relationship between the base of the logarithm and the number.\newlineWe need to find the exponent that 44 must be raised to in order to get 6464.\newlineSince 43=644^3 = 64, we can say that log⁡464=3\log_{4} 64 = 3.

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