Question

I need help on this problem, it’s from my act prep guide

Answer 1

Recall that:

`\begin{gathered} \log _bx+\log _by=\log _b(xy), \\ \log _bx-\log _by=\log _b((x)/(y))\text{.} \end{gathered}`

Therefore, Arjun used the properties incorrectly, he should´ve written:

`\log _7x+\log _7y-\log _7z=\log _7(xy)-\log _7z=\log _y((xy)/(z))\text{.}`