Convert to Logarithmic Form 16=4^2

Problem

16=4^2

Solution

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

2. Assign the values from the given equation 16=4^2 where the base b=4 the exponent y=2 and the result x=16

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

4. Substitute the values into the logarithmic form to get (log_4)(16)=2

Final Answer

16=4^2⇔(log_4)(16)=2

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