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

I Need Help On This Problem Its From My Act Prep Guide class=

Sagot :

Answer:

Recall that:

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

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

[tex]\log _7x+\log _7y-\log _7z=\log _7(xy)-\log _7z=\log _y(\frac{xy}{z})\text{.}[/tex]