Convert to Logarithmic Form 5^4=625

Problem

5=625

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=5 the exponent y=4 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.

Final Answer

5=625⇔(log_5)(625)=4

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