Answer:
x = -2 and x = 7.
Explanation:
18^(x^2 + 4x + 4) = 18^(9x + 18)
As the base is the same:
x^2 + 4x + 4 = 9x + 18
x^2 - 5x - 14 = 0
(x + 2)(x - 7)
x = -2, 7.
comparing powers of equal bases
x^2+4x+4 = 9x +18
x^2 -5x -14=0
x^2 -7x +2x -14=0
x^2 -7x +2x - 14=0
(x-7) x + 2(x-7) =0
(x-7) (x+2) =0
x= - 2 , 7
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