If $${\log _{10}}a = p,$$ $${\log _{10}}b = q,$$ then what is $${\log _{10}}\left( {{a^p}{b^q}} \right)$$ equal to? Options: A . &nbspp2 + q2 B . &nbspp2 - q2 C . &nbspp2q2 D . &nbsp$$\frac{{{p^2}}}{{{q^2}}}$$

If $${\log _{10}}a = p,$$ $${\log _{10}}b = q,$$ then what is $${\log

Question

If $${\log _{10}}a = p,$$ $${\log _{10}}b = q,$$ then what is $${\log _{10}}\left( {{a^p}{b^q}} \right)$$ equal to?

Options:

A . p2 + q2

B . p2 - q2

C . p2q2

D . $$\frac{{{p^2}}}{{{q^2}}}$$

Answer: Option A

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