to solve the equation $2^{x - 1} - 7 = 9$, first

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Exponential Equations Graphically" ], "new_concepts": [ "Solving Exponential Equations Algebraically" ], "current_concepts": [ "Solving Exponential Equations Graphically", "Solving Exponential Equations Algebraically" ] } ## Isolate the exponential term Using the *Solving Exponential Equations Graphically* knowledge point $$ \begin{aligned} 2^{x-1} - 7 &= 9 \ 2^{x-1} &= 9 + 7 \ 2^{x-1} &= 16 \end{aligned} $$ The first step is to add 7 to both sides of the equation to isolate the exponential term $2^{x-1}$. To solve the equation $2^{x-1} - 7 = 9$, first add 7 to both sides. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Exponential Equations Algebraically" ] }

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Isolate the exponential term

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