which point corresponds to the real zero of the graph of (y = \log_3(x + 2) - 1)?

* ((-1, -1))
* ((1, 0))
* ((-1, 0))
* ((0, -.369))

Question

which point corresponds to the real zero of the graph of (y = \log_3(x + 2) - 1)?

* ((-1, -1))
* ((1, 0))
* ((-1, 0))
* ((0, -.369))

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Logarithmic Equations", "Real Zeros" ], "new_concepts": [], "current_concepts": [ "Logarithmic Equations", "Real Zeros" ] } ## Set the function to zero $$ \log_3(x + 2) - 1 = 0 $$ ## Solve for x $$ \begin{aligned} \log_3(x + 2) &= 1 \ x + 2 &= 3^1 \ x + 2 &= 3 \ x &= 1 \end{aligned} $$ ## Identify the corresponding coordinate point $$ (x, y) = (1, 0) $$

(-1,-1)

(1,0)

(-1,0)

(0,-.369)

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

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QUESTION IMAGE

Question

Explanation:

Set the function to zero

Solve for x

Identify the corresponding coordinate point

Answer: