Convert to Logarithmic Form 5^-2=1/25

Problem

5(−2)=1/25

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=5 the exponent y=−2 and the result x=1/25

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

5(−2)=1/25⇔(log_5)(1/25)=−2

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