what is the value of $e^{\ln 7x}$?

* 1
* 7e
* 7x
* 7

Question

what is the value of $e^{\ln 7x}$?

* 1
* 7e
* 7x
* 7

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Inverse Properties of Logarithms" ], "new_concepts": [], "current_concepts": [ "Inverse Properties of Logarithms", "Logarithmic Evaluation" ] } ## Identify the given expression The problem asks for the value of the expression: $$ e^{\ln(7x)} $$ ## Apply inverse properties Using the *Inverse Properties of Logarithms* knowledge point $$ e^{\ln(u)} = u \quad \text{for } u > 0 $$ $$ e^{\ln(7x)} = 7x $$

1

7e

7x

7

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Inverse Properties of Logarithms" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given expression

Apply inverse properties

Answer: