Convert to Logarithmic Form 8^2=64

Problem

8=64

Solution

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

2. Recognize that in the equation 8=64 the base b is 8 the exponent y is 2 and the result x is 64

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

4. Substitute the values into the logarithmic form to get (log_8)(64)=2

Final Answer

8=64⇔(log_8)(64)=2

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