what is the solution of $\log_{x} 729 = 3$?

6
9
18
81

Question

what is the solution of $\log_{x} 729 = 3$?

6
9
18
81

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Logarithmic Equations" ], "new_concepts": [], "current_concepts": [ "Solving Logarithmic Equations", "Logarithmic Evaluation" ] } ## Rewrite in exponential form Using the **Solving Logarithmic Equations** knowledge point $$ x^3 = 729 $$ ## Solve for x Using the **Solving Logarithmic Equations** knowledge point $$ \begin{aligned} x &= \sqrt[3]{729} \ x &= 9 \end{aligned} $$

(A) 6

(B) 9

(C) 18

(D) 81

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Solving Logarithmic Equations" ] }

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Question

Explanation:

Rewrite in exponential form

Solve for x

Answer: