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The total number of solutions of

2x+3x+4x-5x=0  is/are...........

7 years ago


Answers : (1)


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
7 years ago

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