solve: $2 \ln 3 = \ln(x - 4)$

$x = 9$
$x = 10$
$x = 13$

Question

solve: $2 \ln 3 = \ln(x - 4)$

$x = 9$
$x = 10$
$x = 13$

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": [ "Logarithmic Power Rule", "Solving Logarithmic Equations" ], "new_concepts": [], "current_concepts": [ "Logarithmic Power Rule", "Solving Logarithmic Equations" ] } ## Apply logarithmic power rule Using the *Logarithmic Power Rule* knowledge point $$ 2 \ln 3 = \ln(3^2) = \ln 9 $$ ## Equate arguments and solve Using the *Solving Logarithmic Equations* knowledge point $$ \begin{aligned} \ln 9 &= \ln(x - 4) \ 9 &= x - 4 \ x &= 13 \end{aligned} $$

$x = 9$

$x = 10$

$x = 13$

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

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QUESTION IMAGE

Question

Explanation:

Apply logarithmic power rule

Equate arguments and solve

Answer: