Question

Care e solutia ecuatiei :
8^{x} + 8^{x+1} = 9 x 2^{1071} ?

Answer 1

   
[tex]8^{x} + 8^{x+1} = 9 \cdot 2^{1071} \\ 8^{x} + 8^{x} \cdot 8 = 9 \cdot 2^{1071} \\ 8^{x}(1 + 8) = 9 \cdot 2^{1071} \\ 9 \cdot 8^{x} = 9 \cdot 2^{1071} ~~~~~~|:9 \\ 8^{x} = 2^{1071} \\ (2^3)^{x} = 2^{1071} \\ 2^{3x} = 2^{1071} \\ 3x=1701 \\ \\ \displaystyle x= \frac{1701}{3}= \boxed{567}[/tex]