what common base can be used to rewrite each side of the equation (2^{x+3} - 3 = 5)?

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Question

what common base can be used to rewrite each side of the equation (2^{x+3} - 3 = 5)?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponential Equations" ], "new_concepts": [], "current_concepts": [ "Exponential Equations" ] } ## Isolate the exponential term $$ \begin{aligned} 2^{x+3} - 3 &= 5 \ 2^{x+3} &= 5 + 3 \ 2^{x+3} &= 8 \end{aligned} $$ ## Express both sides with a common base $$ \begin{aligned} 2^{x+3} &= 2^3 \ \text{Base} &= 2 \end{aligned} $$

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

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QUESTION IMAGE

Question

Explanation:

Isolate the exponential term

Express both sides with a common base

Answer: