Question

Express as a single, simplified logarithm. 1 − (510 + 253)

Answer 1

`=1-log\left(1432590\right)`

Explanation:

By the logarithm properties:

`\begin{gathered} \log_(a*b)=\log_a+logb \\ \log_((a)/(b))=\text{ log a - log b} \\ \log_(a^b)=b\log_a \end{gathered}`

Therefore, for the given logarithm:

`\begin{gathered} 1-(log510+log53^2) \\ =1-(log510+log2809) \\ =1-log\left(1432590\right) \end{gathered}`