2^2x - 3.2^x+2 + 32=0
find x
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Step-by-step explanation:
Let 2x = a
⇒a2 – 12a + 32=0
⇒ a2 – 8a – 4a + 32=0
⇒a(a – 8) – 4(a – 8)=0
⇒(a – 8)(a – 4)=0
⇒ a – 8 = 0 or a – 4 = 0
∴ a = 8 or a = n4
Case (i):
a = 8
⇒ 2x = 23
∴ x = 3
Case (ii):
a = 4
⇒ 2x = 22
∴ x = 2
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