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Consider the four sets A,B,C and D defined asA={a:a=8(log4(x))3+4log√2(x4), x>0}B={b:b=20+13(logx2)2, x>0}C={c∈N:c∈A∩B for same x>0}D={x∈Z:(x−2)2(15x2−56x+17)<0} Then the number of elements in C×D is

Answer» Consider the four sets A,B,C and D defined as

A={a:a=8(log4(x))3+4log2(x4), x>0}

B={b:b=20+13(logx2)2, x>0}

C={cN:cAB for same x>0}

D={xZ:(x2)2(15x256x+17)<0}



Then the number of elements in C×D is


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