Question

Not sure if my answer is correct can you let me know

Answer 1

The reason for the statement;

`\log 10^(p+q)=p+q`

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;

`logM^p=p\log M`
`\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)*1 \\ \log 10^(p+q)=p+q \end{gathered}`

Therefore, the missing reason for the statement is power property.