Convert to Logarithmic Form 4^5=1024

Problem

4=1024

Solution

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

2. Recognize that in the equation 4=1024 the base b is 4 the exponent y is 5 and the result x is 1024

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_4)(1024)=5

Final Answer

4=1024⇔(log_4)(1024)=5

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