Convert to Logarithmic Form 2^4=16

Problem

2^4=16

Solution

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

2. Recognize that the base is b=2 the exponent is y=4 and the result is 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_2)(16)=4

Final Answer

2^4=16⇔(log_2)(16)=4

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