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Find the number of real solutions of sin...

Find the number of real solutions of sin `(e^x) = 5^x + 5^(-x)`.

A

0

B

1

C

2

D

infinitely many

Text Solution

Verified by Experts

The correct Answer is:
a
Given equations in ` sin ( e ^(x)) = 5 ^(x) + 5^(- x) ` is
`" "LHS = sin (e^(x)) lt 1, AA x in R `
`and " " RHS = 5^(x) + 5^(- x ) ge 2 `
`therefore " " sin ( e ^(x)) = 5^(x) + 5^(- x )` has no solution.
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