solve the logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression.

(9 \ln (3x) = 36)

rewrite the given equation without logarithms. do not solve for x.

Question

solve the logarithmic equation. be sure to reject any value of x that is not in the domain of the original logarithmic expression.

(9 \ln (3x) = 36)

rewrite the given equation without logarithms. do not solve for x.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Logarithmic Equations" ], "new_concepts": [], "current_concepts": [ "Logarithmic Equations", "Logarithmic Properties" ] } ## Isolate the logarithmic term $$ \begin{aligned} 9 \ln(3x) &= 36 \ \ln(3x) &= 4 \end{aligned} $$ ## Convert to exponential form $$ \begin{aligned} e^{\ln(3x)} &= e^4 \ 3x &= e^4 \end{aligned} $$ Rewrite the given equation without logarithms. Do not solve for x. $3x = e^4$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Logarithmic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the logarithmic term

Convert to exponential form

Answer: