Cameroon GCE A-Level Pure Math With Mechanics Practice Questions - Cameroon GCE Advanced Level Pure Mathematics With Mechanics (Subject Code 0765) Exam

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Given that $\log_a b = 3$ and $\log_a c = 5$, find the value of $\log_a\!\left(\dfrac{a^2 b}{\sqrt{c}}\right)$.
Correct Answer:
$$\dfrac{5}{2}$

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