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Evaluate 3^( log base 3 of 17)

Problem

3

Solution

  1. Identify the structure of the expression as a base raised to a logarithm with the same base, which follows 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 x>0 and b>0,b≠1

  3. Substitute the given values b=3 and x=17 into the property to find the result.

Final Answer

3=17


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