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The no of solution of the equation e^x=5^x+5^(-x)

The no of solution of the equation
 
e^x=5^x+5^(-x)
 

Grade:12

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,
Both sides are increasin function for x>0.
For x <0 it is obvious that they won’t intersect.
Also the right function is even.
So at x=0
right =2
left =1
So the equation won’t have a solution.
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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