which is equivalent to $\log_{2} n = 4$?

* $\log n = \frac{\log 2}{4}$
* $n = \frac{\log 2}{\log 4}$
* $n = \log 4 \cdot \log 2$
* $\log n = 4 \log 2$

Question

which is equivalent to $\log_{2} n = 4$?

* $\log n = \frac{\log 2}{4}$
* $n = \frac{\log 2}{\log 4}$
* $n = \log 4 \cdot \log 2$
* $\log n = 4 \log 2$

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": [ "Change of Base Formula", "Solving Logarithmic Equations" ], "new_concepts": [], "current_concepts": [ "Change of Base Formula", "Solving Logarithmic Equations", "Logarithmic Properties" ] } ## Write the given equation Using the *Solving Logarithmic Equations* knowledge point $$ \log_{2}n = 4 $$ ## Apply the change of base formula Using the *Change of Base Formula* knowledge point $$ \frac{\log n}{\log 2} = 4 $$ ## Solve for log n Using the *Solving Logarithmic Equations* knowledge point $$ \log n = 4 \log 2 $$

(A) $\log n = \frac{\log 2}{4}$

(B) $n = \frac{\log 2}{\log 4}$

(C) $n = \log 4 \cdot \log 2$

(D) $\log n = 4\log 2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Change of Base Formula" ] }

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Question

Explanation:

Write the given equation

Apply the change of base formula

Solve for log n

Answer: