SOLUTION: If 6^(2x+1) = k, then what does 6^(x+3) equal?

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Question 1187503: If 6^(2x+1) = k, then what does 6^(x+3) equal?
Answer by ikleyn(52809) About Me  (Show Source):
You can put this solution on YOUR website!
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If 6^(2x+1) = k, then what does 6^(x+3) equal?
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Since  6%5E%282x%2B1%29 = k,  it implies


   6+%2A+6%5E%282x%29 = k

   6%5E%282x%29 = k%2F6

   6%5Ex = sqrt%28k%2F6%29.


THEREFORE,  6%5E%28x%2B3%29 = 6%5E3%2A6%5Ex = 216%2Asqrt%28k%2F6%29.    ANSWER

Solved, answered and explained.