SOLUTION: 8^{7 x - 10} = ( frac{1}{16} )^{2 x - 10}

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Question 435694: 8^{7 x - 10} = ( frac{1}{16} )^{2 x - 10}
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29

8^{7 x - 10} = ( 1/16 )^{2 x - 10}

(2^3)^{7x - 10} = (2^-4 )^{2x - 10}

 2^3{7x-10} = 2^-4{2x-10}

   3(7x-10) = -4(2x-10)

    21x - 30 = -8x + 40

       29x = 70

         x = 70/29 = 2.4138