Question

hw 11 definition evaluation and basic properties of logar functions
due saturday by 11:59pm points 100 submitting an external tool
content attribution
24
question
evaluate: $log_9(9^{12})$
select the correct answer below:
0
1
12
−9

Explanation:

Step1: Recall log - exponent property

The property of logarithms states that if \(y = \log_{a}(a^{x})\), then \(y=x\) for \(a>0,a
eq1\) and \(x\in R\). In the given expression \(\log_{9}(9^{12})\), we have \(a = 9\) and \(x = 12\).

Step2: Apply the property

By the property \(\log_{a}(a^{x})=x\), when \(a = 9\) and \(x = 12\), we get \(\log_{9}(9^{12})=12\).

Answer:

C. 12