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1974 AMC 12 Question 18

AMC12 · 1974 AMC 12

Question 18

If $\log_8 3=p$ and $\log_3 5=q,$ then, in terms of $p$ and $q,$ $\log_{10}5$ equals
  1. $pq$
  2. $\frac{3p+q}{5}$
  3. $\frac{1+3pq}{p+q}$
  4. $\frac{3pq}{1+3pq}$
  5. $p^2+q^2$