which of the following is a logarithmic function?

$y = \log_{3} x$

$y = 3^{x}$

$y = x + 3$

$y = x^{3}$

Question

which of the following is a logarithmic function?

$y = \log_{3} x$

$y = 3^{x}$

$y = x + 3$

$y = x^{3}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Logarithmic Functions" ], "new_concepts": [], "current_concepts": [ "Logarithmic Functions" ] } ## Identify the definition of a logarithmic function $$ y = \log_b(x) \quad (b > 0, \, b e 1) $$ ## Analyze the given options $$ \begin{aligned} &y = \log_3 x \quad \text{is a logarithmic function with base 3} \ &y = 3^x \quad \text{is an exponential function} \ &y = x + 3 \quad \text{is a linear function} \ &y = x^3 \quad \text{is a cubic (polynomial) function} \end{aligned} $$

(A) $y = \log_3 x$

(B) $y = 3^x$

(C) $y = x + 3$

(D) $y = x^3$

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

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Question

Explanation:

Identify the definition of a logarithmic function

Analyze the given options

Answer: