Evaluate log base 9 of 81

Problem

(log_9)(81)

Solution

1. Identify the base and the argument of the logarithm. The base is 9 and the argument is 81

2. Rewrite the argument 81 as a power of the base 9

81=9

3. Substitute the power back into the logarithmic expression.

(log_9)(9)

4. Apply the property of logarithms (log_b)(bx)=x to simplify the expression.

(log_9)(9)=2

Final Answer

(log_9)(81)=2

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