question 15

solve the logarithmic equation $\log_{3}(81) = x$.

* $x = 3$
* $x = 27$
* $x = 4$
* $x = 7$

Question

question 15

solve the logarithmic equation $\log_{3}(81) = x$.

* $x = 3$
* $x = 27$
* $x = 4$
* $x = 7$

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": [ "Logarithm Definition" ], "new_concepts": [], "current_concepts": [ "Logarithm Definition", "Logarithmic Equations" ] } ## Rewrite in exponential form Using the *Logarithm Definition* knowledge point $$ \log_{3}(81) = x \iff 3^x = 81 $$ ## Solve for x Using the *Logarithm Definition* knowledge point $$ \begin{aligned} &3^x = 3^4 \ &x = 4 \end{aligned} $$

x = 3

x = 27

x = 4

x = 7

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Logarithm Definition" ] }

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Explanation:

Rewrite in exponential form

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