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Convert to Logarithmic Form 4^3=64

Problem

4=64

Solution

  1. Identify the base, the exponent, and the result of the exponential equation.

  2. Recall the definition of a logarithm, which states that by=x is equivalent to (log_b)(x)=y

  3. Substitute the values into the logarithmic form: the base b=4 the result x=64 and the exponent y=3

Final Answer

4=64⇔(log_4)(64)=3


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