Recent questions tagged logarithms

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For positive non-zero real variables $p$ and $q$, if\[\log \left(p^{2}+q^{2}\right)=\log p+\log q+2 \log 3,\]then, the value of $\frac{p^{4}+q^{4}}{p^{2} q^{2}}$ is$79$$8...
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If $\log_x (5/7) = -1/3$, then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$
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