SOLUTION: If 6^(2x+1)=k , then 6^(4x+3) equals: A) 12k B) k^2 + 6 C) 6k^2 D) 2k+6 E) 36k^2

Algebra ->  Exponents -> SOLUTION: If 6^(2x+1)=k , then 6^(4x+3) equals: A) 12k B) k^2 + 6 C) 6k^2 D) 2k+6 E) 36k^2      Log On


   

Question 1204836: If 6^(2x+1)=k , then 6^(4x+3) equals:
A) 12k
B) k^2 + 6
C) 6k^2
D) 2k+6
E) 36k^2
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

This was already done. Paste this in your browser:

http://www.algebra.com/tutors/students/your-answer.mpl?question=1204752

Edwin

Answer by ikleyn(52778) 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.