Convert to Logarithmic Form 5^2=25

Problem

5^2=25

Solution

1. Identify the base, the exponent, and the result in the given exponential equation b^x=y

2. Recognize that in the equation 5^2=25 the base b is 5 the exponent x is 2 and the result y is 25

3. Apply the definition of a logarithm, which states that b^x=y is equivalent to (log_b)(y)=x

4. Substitute the values into the logarithmic form to get (log_5)(25)=2

Final Answer

5^2=25⇔(log_5)(25)=2

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