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question what is the value of $log_{3} 729$ answer attempt 2 out of 2

Question

question
what is the value of $log_{3} 729$
answer attempt 2 out of 2

Explanation:

Step1: Rewrite 729 as power of 3

$729 = 3^6$

Step2: Apply logarithm power rule

$\log_{3} 3^6 = 6\log_{3} 3$

Step3: Evaluate $\log_{3} 3$

$\log_{3} 3 = 1$, so $6 \times 1 = 6$

Answer:

6