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AM,GM,HM Inequality

The number of...

Question

The number of real solution of the equations $sin (e^{x}) = 5^{x} + 5^{- x}$ is

A

0

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B

1

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C

2

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D

infinitely many

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Solution

The correct option is B $0$
The minimum value of $5^{x} + 5^{- x}$ is equal to $2$
$sin x$ never exceeds $1$
Hence, option 'A' is correct.

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