Convert to Logarithmic Form 4^-3=1/64

Problem

4(−3)=1/64

Solution

1. Identify the base, the exponent, and the result in the given exponential equation by=x

2. Determine the values where the base b=4 the exponent y=−3 and the result x=1/64

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

4. Substitute the identified values into the logarithmic form.

Final Answer

4(−3)=1/64⇔(log_4)(1/64)=−3

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