Find the value of x
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x =8
Step-by-step explanation:
8² * 4³ / 2ˣ = 2x
=> (2³)² * (2²)³ /2ˣ = 2x
=> 2⁶ * 2⁶ / 2ˣ = 2x
=> 2⁶⁺⁶/2ˣ = 2x
=> 2¹² / 2ˣ = 2x
=> 2¹²⁻ˣ = 2x
=> 2¹² ⁻ˣ / 2 = x
=> 2¹¹⁻ˣ = x
let say x = 2ⁿ
=> 11 - x = n
& x = 2ⁿ
x < 11 => 2ⁿ < 11
=> n < 4
n= 3
11 - x = 3
=> x = 8
2ⁿ = 2³ = 8 = x
hence x = 8
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