2^x+2^(x+1)+2^(x+2)+2^(x+3)=15√32
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i dont no.......... sorry
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Step-by-step explanation:
2^x+2^(x+1)+2^(x+2)+2^(x+3)=15sqrt(32)=15sqrt(16*2)=15*4sqrt(2)=60sqrt(2)
2^x+2^x*2^1+2^x*2^2+2^x*2^3=60sqrt(2)
2^x(1+2+4+8)=60sqrt(2)
2^x(15)=60sqrt(2)
2^x=2^2*(2^(1/2))
2^x=2^(2+1/2)
2^x=2^(5/2)
x=5/2
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