what is the solution to $\log_{4} 8x = 3$?

$x = \frac{3}{8}$

$x = \frac{3}{2}$

$x = 2$

$x = 8$

Question

what is the solution to $\log_{4} 8x = 3$?

$x = \frac{3}{8}$

$x = \frac{3}{2}$

$x = 2$

$x = 8$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Logarithmic Equations" ], "new_concepts": [], "current_concepts": [ "Logarithmic Equations" ] } ## Convert to exponential form $$ \log_{4}(8x) = 3 \implies 8x = 4^3 $$ ## Simplify and solve for x $$ \begin{aligned} 8x &= 64 \ x &= \frac{64}{8} \ x &= 8 \end{aligned} $$

(A) $x = \frac{3}{8}$

(B) $x = \frac{3}{2}$

(C) $x = 2$

(D) $x = 8$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Convert to exponential form

Simplify and solve for x

Answer: