Convert to Logarithmic Form 2^5=32

Problem

2=32

Solution

1. Identify the base, the exponent, and the result in the given exponential equation bx=y

2. Recognize the components where the base b=2 the exponent x=5 and the result y=32

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

4. Substitute the values into the logarithmic form to get (log_2)(32)=5

Final Answer

2=32⇔(log_2)(32)=5

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