Convert to Logarithmic Form 125^(4/3)=625

Problem

125(4/3)=625

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=125 the exponent y=4/3 and the result x=625

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 (log_125)(625)=4/3

Final Answer

(log_125)(625)=4/3

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