Convert to Logarithmic Form 2^-4=1/16

Problem

2(−4)=1/16

Solution

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

2. Determine the values where the base b=2 the exponent y=−4 and the result x=1/16

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

2(−4)=1/16⇔(log_2)(1/16)=−4

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