Convert to Logarithmic Form 5^3=125

Problem

5=125

Solution

1. Identify the base, the exponent, and the result in the given exponential equation bx=y

2. Recognize the components where the base b=5 the exponent x=3 and the result y=125

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

4. Substitute the values into the logarithmic form to get (log_5)(125)=3

Final Answer

5=125⇔(log_5)(125)=3

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