Solve the following: 27^2×-6=3^9 x

label Algebra
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A.×=27/5 B.×=-15 C.×=5/27 D. ×=15

Jun 1st, 2015

  27^2*x-6-(3^9*x)=0 

  (((272) • x) -  6) -  (39 • x)  = 0 
27 = 33

(27)2 = (33)2 = 36

  ((36 • x) -  6) -  39x  = 0 
Now that the bases are equal, then the powers are equal too.

Answer becomes C.×=5/27

Jun 1st, 2015

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