The reason for the statement;
[tex]\log 10^{p+q}=p+q[/tex]
Using the power rule of logarithm,
This property says that the log of a power is the exponent times the logarithm of the base of the power.
This means;
[tex]logM^p=p\log M[/tex][tex]\begin{gathered} \text{Thus, applying the power property of logarithm,} \\ \log 10^{p+q}=(p+q)\log 10 \\ \log \text{ 10 = 1} \\ \text{Hence, }\log 10^{p+q}=(p+q)\log 10 \\ (p+q)\log 10=(p+q)\times1 \\ \log 10^{p+q}=p+q \end{gathered}[/tex]
Therefore, the missing reason for the statement is power property.
