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Solve for x. 5^11x=25^x+9

Solve for x. 5^11x=25^x+9
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Solve for x. 5^11x=25^x+9

User MineR
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\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 = (18)/(9) = \boxed{2}



User Ofer Sadan
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