which of the following is true about the base $b$ of a logarithmic function? $b 0$ and $b = 1$ $b 0$ and $b \ eq 1$ $b

Question

which of the following is true about the base $b$ of a logarithmic function? $b > 0$ and $b = 1$ $b > 0$ and $b \ eq 1$ $b < 0$ and $b \ eq 1$ $b < 0$ and $b = 1$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Logarithmic Functions" ], "new_concepts": [], "current_concepts": [ "Logarithmic Functions" ] } ## Analyze logarithmic base definition Using the *Logarithmic Functions* knowledge point $$ \begin{aligned} &f(x) = \log_b(x)\ &b > 0 \quad \text{and} \quad b e 1 \end{aligned} $$

(A) $b > 0$ and $b = 1$

(B) $b > 0$ and $b eq 1$

(C) $b < 0$ and $b eq 1$

(D) $b < 0$ and $b = 1$

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

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Analyze logarithmic base definition

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