Evaluate log base 3 of 3^71

Problem

(log_3)(3)

Solution

1. Identify the base of the logarithm and the base of the exponential expression inside the logarithm.

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

3. Simplify the expression by recognizing that the logarithm base 3 and the exponential base 3 are inverse operations.

Final Answer

(log_3)(3)=71

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