question 7

solve the following logarithmic equation:

$\log_{10}(8x) = 2$

- $x = 7.5$
- $x = 11$
- $x = 18$
- $x = 12.5$

Question

question 7

solve the following logarithmic equation:

$\log_{10}(8x) = 2$

- $x = 7.5$
- $x = 11$
- $x = 18$
- $x = 12.5$

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" ] } ## Convert to exponential form Using the *Logarithm Definition* knowledge point $$ \begin{aligned} &\log_{10}(8x) = 2 \ &8x = 10^2 \ &8x = 100 \end{aligned} $$ ## Solve for x Using the *Logarithmic Equations* knowledge point $$ \begin{aligned} &x = \frac{100}{8} \ &x = 12.5 \end{aligned} $$

$x = 7.5$

$x = 11$

$x = 18$

$x = 12.5$

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

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