3 years ago

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

1 answer:

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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