Plz help... Solve. 2^2x -2 ^x+3+2^4 =0 Plz help exam overhead...
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1
Answer:
Answer:
x = 2
Explanation:
Given
2^{2x}-2^{x+3}+2^{4}=02
2x
−2
x+3
+2
4
=0
\implies(2^{x})^{2}-2^{x}\times2^{3}+2^{4}=0⟹(2
x
)
2
−2
x
×2
3
+2
4
=0
Let 2^{x} = a2
x
=a
=> a²-8a+16=0
=> a²-2*a*4+4² = 0
=> (a-4)² = 0
=> (a-4) = 0
=> a = 4
=> a = 2²
a = 2^{x}=2^{2}a=2
x
=2
2
x= 2
\boxed{If \: a^{m}=a^{n} \implies m = n}
Ifa
m
=a
n
⟹m=n
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