exam Maths Puzzle Numerical Ability

-m2+3m+4=0

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exam Other Question

Solve the equation: 1n x = 1n 2 + 1n (3x - 1)
I know the answer is 2/5 from the answers in the back of the book.
I need to know how the solution was solved.

I really appreciate your help. can u please help me in this
let E(x^r) = 1/r+1 , r=1,2,3,� find the series representation for the moment generating function of x , sum this series