Convert to Logarithmic Form 3^-2=1/9

Problem

3(−2)=1/9

Solution

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

2. Assign the values based on the equation: the base b=3 the exponent y=−2 and the result x=1/9

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 to obtain the final expression.

Final Answer

3(−2)=1/9⇔(log_3)(1/9)=−2

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