If 26!= _n 8^k , where k and n are positive integers, then what is the maximum value of k ?

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Correct answer: B. 7

26!=n 8^k=n 2^ 3 k Maximum power of 2 aligned & =[(26)/(2)]+[(26)/(4)]+[(26)/(8)]+[(26)/(16)] & =13+6+3+1=23 aligned But power of 2=3 k Maximum value of 3 k=21 Hence, the maximum value of k=7 .

If 26!= _n 8^k , where k and n are positive integers, then what is...

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