# how to solve: exp(x)+exp(1/2*x) == 2?

```
sage: assume(x,'real')
sage: solve(exp(x)+exp(-1/2*x) == 2,x)
[x == 2*log(1/2*sqrt(5) - 1/2), x == 0]
```

that ist ok!

how can i get here the solution x==0?

```
sage: solve(exp(x)+exp(1/2*x) == 2,x)
[e^x == -e^(1/2*x) + 2]
```

Thanks for help.