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

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The number of real solutions of the equation `sin (e^x)= 5^x+5^-x`
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Correct Answer - 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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