SOLUTION: if 6^(2x+1) =k, then 6^(4x+3 ) equals

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Question 1204808: if 6^(2x+1) =k, then 6^(4x+3 ) equals
Found 3 solutions by Edwin McCravy, ikleyn, greenestamps:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
This was already done
http://www.algebra.com/tutors/students/your-answer.mpl?question=1204752

Edwin

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
if 6^(2x+1) =k, then 6^(4x+3) equals
~~~~~~~~~~~~~ 


  6%5E%284x%2B3%29 = trace/watch attentively each and every my step = 

= 6%2A6%5E%284x%2B2%29 = 6%2A6%5E%282%2A%282k%2B1%29%29 = 6%2A%286%5E%282k%2B1%29%29%5E2  = 6%2Ak%5E2.


ANSWER.  If 6^(2x+1) =k, then 6^(4x+3) equals 6k%5E2.

Solved.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Observe that 4k+3 = 2(2k+1)+1. Then

6%5E%284x%2B3%29 = %286%5E%284x%2B2%29%29%286%5E1%29 = %286%5E%282%282x%2B1%29%29%29%286%29 = %28%286%5E%282x%2B1%29%29%5E2%29%286%29 = %28k%5E2%29%286%29

ANSWER: 6k%5E2