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

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The number of a real solution of the equation sin(e^x)=5^x+5^(-x) is:

{\color{DarkGreen} Given \:equation\:\:\sin e^x=5^x+5^{-x}}

\\Let\:y_1=\sin e^x\\\Rightarrow -1\leq \sin e^x\leq 1\\\Rightarrow -1\leq y_1\leq 1\\y_{1\:max}=1\\y_{1\:min}=-1

\\Let\:y_2=5^x+5^{-x}=5^x+\frac{1}{5^x}\\5^x>0\\Let,5^x=t\\y_2=t+\frac{1}{t}\geq 2\:\:\:\:\:\:\:t>0\\y_2\geq 2\\y_{2\:min}=2\\y_1\neq y_2\\no\:solution 

O Invalid Equation Let yl e sin < y I max Let Y2 = 5

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himanshu.meshram

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Sir 14th question plzz The number of real solution of the equation sin(e^x)=5^x+5^(-x)

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