if the products of the roots of the equation x2-3kx+2e2logk-1=0 is 7, then the roots are real for k=..........

Product of the roots = 2e2 log k – 1

⇒7= 2e2 log k – 1

⇒2e2 log k – 1 = 7

⇒2e2 log k – 1 = 8

e2 log k = 4

⇒2log k = log 22

⇒2log k = 2log 2

k = 2

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