15. Find x
a) If 9x^2 = 240 +
gx
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Sol: Given 9x+2 = 240 + 9x ⇒ 9x x 92= 240 + 9x let 9x = a ⇒ 81a = 240 + a ⇒ 80a = 240 ⇒ a = 3 but 9x = a ⇒ 9x = 3 ⇒ 32x = 3 bases are equal powers should be equated. ⇒ 2x = 1 ⇒ x = 1/2
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