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Evaluate log base 4 of 1

Problem

(log_4)(1)

Solution

  1. Identify the logarithmic property for the logarithm of 1.

  2. Apply the rule that states for any positive base b where b≠1 the logarithm of 1 is always 0.

  3. Verify the result using the exponential form 4=1

Final Answer

(log_4)(1)=0


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