If 2ˣ = 4ⁿ =8ᵅ and 1/2x + 1/4n +1/8α = 4, find the value of x.
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Step-by-step explanation:
Given that,1/2x+1/4y+1/4z=4
1/2x+1/4×1/2x+1/4×1/4=4(2x=4y,y=2/4x,y=1/2x)(2x=8z,z=2/8x,z=1/4x)
1/2x+1/8x+1/16x=4
8x+2x+1x/16=4
11x/16=4
11x=4×16
11x=64
x=64/11
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