Convert to Logarithmic Form 6^3=216

Problem

6=216

Solution

1. Identify the base, the exponent, and the result in the given exponential equation by=x

2. Recognize that in the equation 6=216 the base b is 6 the exponent y is 3 and the result x is 216

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 to get (log_6)(216)=3

Final Answer

6=216⇔(log_6)(216)=3

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