evaluate each expression.
$\log_{3}27 = $
$\log_{12}1 = $
$\log_{5}\frac{1}{25} = $
$\log_{2}128 = $

select all that are equal to 3.
$\log_{2}8$
$\log_{4}16$
$\log_{3}27$
$\log_{10}1,000$

Question

evaluate each expression.
$\log_{3}27 = $
$\log_{12}1 = $
$\log_{5}\frac{1}{25} = $
$\log_{2}128 = $

select all that are equal to 3.
  $\log_{2}8$
  $\log_{4}16$
  $\log_{3}27$
  $\log_{10}1,000$

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": [ "Logarithmic Evaluation" ], "new_concepts": [], "current_concepts": [ "Logarithmic Evaluation" ] } ## Evaluate each logarithmic expression Using the *Logarithmic Evaluation* knowledge point $$ \begin{aligned} &\log_{2}8 = \log_{2}(2^3) = 3\ &\log_{4}16 = \log_{4}(4^2) = 2\ &\log_{3}27 = \log_{3}(3^3) = 3\ &\log_{10}1,000 = \log_{10}(10^3) = 3 \end{aligned} $$

(A) $\log_{2}8$

(B) $\log_{4}16$

(C) $\log_{3}27$

(D) $\log_{10}1,000$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Evaluate each logarithmic expression

Answer: