solve for (x).

\300 \cdot 3^x = 24300\

(x =)

Question

solve for (x).

\300 \cdot 3^x = 24300\

(x =)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponential Equations" ], "new_concepts": [], "current_concepts": [ "Exponential Equations" ] } ## Isolate the exponential term $$ \begin{aligned} 300 \cdot 3^x &= 24300 \ 3^x &= \frac{24300}{300} \ 3^x &= 81 \end{aligned} $$ ## Solve for x using common bases $$ \begin{aligned} 3^x &= 3^4 \ x &= 4 \end{aligned} $$ Solve for $x$. $x =$ 4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Exponential Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the exponential term

Solve for x using common bases

Answer: