Evaluate 2^( log base 2 of 37)

Problem

2

Solution

1. Identify the structure of the expression, which is in the form b(log_b)(x)

2. Apply the inverse property of logarithms and exponents, which states that b(log_b)(x)=x for any b>0 and b≠1

3. Substitute the given values b=2 and x=37 into the property to find the result.

Final Answer

2=37

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