question 7

solve the following logarithmic equation:

$\log_{10}(5x) = 2$

* $x = \frac{1}{2}$
* $x = 25$
* $x = 2$
* $x = 20$

Question

question 7

solve the following logarithmic equation:

$\log_{10}(5x) = 2$

* $x = \frac{1}{2}$
* $x = 25$
* $x = 2$
* $x = 20$

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 Equations", "Logarithm Definition" ], "new_concepts": [], "current_concepts": [ "Logarithmic Equations", "Logarithm Definition" ] } ## Rewrite in exponential form Using the **Logarithm Definition** knowledge point $$ \log_{10}(5x) = 2 \implies 10^2 = 5x $$ ## Solve for x Using the **Logarithmic Equations** knowledge point $$ \begin{aligned} 100 &= 5x \ x &= \frac{100}{5} \ x &= 20 \end{aligned} $$

(A) $x = \frac{1}{2}$

(B) $x = 25$

(C) $x = 2$

(D) $x = 20$

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

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Explanation:

Rewrite in exponential form

Solve for x

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