22. exam style: simplify $\log(a^{2b})$

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Logarithmic Rules" ], "new_concepts": [], "current_concepts": [ "Logarithmic Rules" ] } ## Apply the logarithm power rule $$ \log(x^y) = y \log(x) $$ ## Simplify the given expression $$ \log(a^{2b}) = 2b \log(a) $$ 22. Exam style: Simplify $\log(a^{2b})$ Answer: $2b \log a$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Logarithmic Rules" ] }

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Explanation:

Apply the logarithm power rule

Simplify the given expression

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