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avatar+234 

216^2n+1 * 36^5-4n = 1296^11n+17

SOLVEW FOR n

SHOW ALL WORK

ty

 Jan 19, 2017
 #1
avatar+129845 
+5

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 

 

 

 

cool cool cool

 Jan 19, 2017

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