Evaluate log base 3 of 27

Problem

(log_3)(27)

Solution

1. Identify the base and the argument of the logarithm. The base is 3 and the argument is 27

2. Rewrite the argument 27 as a power of the base 3 Since 3×3×3=27 we have 27=3

3. Substitute the power back into the logarithmic expression to get (log_3)(3)

4. Apply the property of logarithms (log_b)(bx)=x In this case, (log_3)(3)=3

Final Answer

(log_3)(27)=3

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