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i am going to make a guess that this is really \[6^{3n+6}=1,296\] am i right?

here is why that is my guess: because \(1,296\) is an integer power of \(6\) that is
\[6^4=1,296\]

therefore you are being asked to sovle
\[\huge 6^{\color{red}{3n+6}}=6^{\color{red}{4}}\]

or "solve" whatever

I mean the answer choices are this.
http://prntscr.com/84jzo5
Sorry too lazy to type them out.

You not solving using logs @satellite73

|dw:1439459825937:dw|

Thank you!

You are very welcome