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MAVERICK [17]
3 years ago
13

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

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0
   
\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}



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