which equation can you use to evaluate $\log_{6} 1,296$?

$a^6 = 1,296$
$6^a = 1,296$
$6a = 1,296$

evaluate: $\log_{6} 1,296 = $

Question

which equation can you use to evaluate $\log_{6} 1,296$?

$a^6 = 1,296$
$6^a = 1,296$
$6a = 1,296$

evaluate: $\log_{6} 1,296 = $

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Logarithmic and Exponential Inverses", "Logarithmic Evaluation" ], "new_concepts": [], "current_concepts": [ "Logarithmic and Exponential Inverses", "Logarithmic Evaluation" ] } ## Set up the logarithmic equation Using the **Logarithmic and Exponential Inverses** knowledge point $$ \log_{6}1,296 = a \iff 6^a = 1,296 $$ ## Evaluate the logarithm Using the **Logarithmic Evaluation** knowledge point $$ \begin{aligned} &6^1 = 6\ &6^2 = 36\ &6^3 = 216\ &6^4 = 1,296\ &\log_{6}1,296 = 4 \end{aligned} $$ ## Question 1 (A) $a^6 = 1,296$

(B) $6^a = 1,296$

(C) $6a = 1,296$ ## Question 2 Evaluate: $\log_{6}1,296 =$ 4 { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Logarithmic Evaluation" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the logarithmic equation

Evaluate the logarithm

Answer:

Question 1

Question 2