The total number of solutions of 2 x +3 x +4 x -5 x =0 is/are...........

The total number of solutions of

2x+3x+4x-5x=0  is/are...........


1 Answers

anandpal shekhawat
8 Points
14 years ago
hi, above eqn can be written as 2^x + 3^x + 4^x = 5^x functions on both sides of equality are increasing functions so, either they will not meet or they will meet at a single point for greater +ve values of x, 5^x much steeper & for x <0, L.H.S. > R.H.S. hence we can say ,there is only a single point for which L.H.S. = R.H.S. so, no. of soln. = 1

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