Convert to Logarithmic Form (1/5)^-3=125

Problem

(1/5)(−3)=125

Solution

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

2. Recognize the relationship between exponential and logarithmic forms, where by=x is equivalent to (log_b)(x)=y

3. Assign the values: the base b=1/5 the exponent y=−3 and the result x=125

4. Substitute these values into the logarithmic form (log_b)(x)=y

Final Answer

(1/5)(−3)=125⇔(log_1/5)(125)=−3

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