terribradshaw3
terribradshaw3
05-02-2017
Mathematics
contestada
Solve for x. 5^11x=25^x+9
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Tucon
Tucon
05-02-2017
[tex]\displaystyle\\ 5^{11x}=25^{x+9}\\\\ 5^{11x}=\Big(5^2\Big)^{x+9}\\\\ 5^{11x}=5^{2(x+9)}\\\\ 11x = 2(x+9)\\\\ 11x = 2x+18\\\\ 11x - 2x = 18\\\\ 9x = 18\\\\ x = \frac{18}{9} = \boxed{2} [/tex]
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