Question

If ex + e*-1= 2, then x =..

Answer 1

Note: Your equation seems a little unclear. But, I am assuming that your equation is:

`e^x\:+\:e^(-1)=\:2`

Because my solution would still clear your concept about this topic, no matter what the question is.

Answer:

Please check the explanation.

Explanation:

Given the equation

`e^x\:+\:e^(-1)=\:2`

subtract
`e^(-1)` from both sides

`e^x+e^(-1)-e^(-1)=2-e^(-1)`

`e^x=2-(1)/(e)`

`\ln \left(e^x\right)\:=\ln \:\left(2-(1)/(e)\right)`

`\:x\cdot ln\left(e\right)=\ln \:\:\left(2-(1)/(e)\right)`

`\:x\cdot 1=\ln \:\left(2-(1)/(e)\right)` ∵
`\:\:\ln \left(e\right)=1`

`x=\ln \:\left(2-(1)/(e)\right)`

`x=0.5`