216^2n+1 * 36^5-4n = 1296^11n+17
SOLVEW FOR n
SHOW ALL WORK
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216^[2n+1] * 36^[5-4n] = 1296^[11n+17]
(6^3)^{2n + 1] * (6^2)^[5-4n] = (6^4)^{11n + 17]
6^[6n + 3] * (6)^[10 - 8n] = (6)^[44n + 68]
6^[ 13 - 2n] = 6^[44n + 68] solve for the exponents
13 - 2n = 44n + 68 rearrange
-55 = 46n → n = -55 / 46
+234 
