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AM,GM,HM Inequality

The number of...

Question

The number of real solution of the equation $sin e^{x} = 5^{x} + 5^{- x}$ 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 A $0$
The minimum value of $5^{x} + 5^{- x} = 2$
and $s i n x$ can not exceed 1 so this equation have no solution.

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