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