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Convert to Logarithmic Form 3^-3=1/27

Problem

3(−3)=1/27

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=3 the exponent y=−3 and the result x=1/27

  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

3(−3)=1/27⇔(log_3)(1/27)=−3


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