# Find the solutions #x > 0 in RR# for #2^x + 2^(1+1/sqrt(x))=6#?

##### 2 Answers

1

#### Explanation:

Despite that the solution is obviously 1, by inspection. an iterative

method with starter 1 disclosed this fact, in the first iteration itself..

Rearranging,

Equating logarithms,

Choosing the discrete analogue

with the guess solution 1 as the starter

the first iteration, in double precision mode, declares

Now, substitution x = 1 shows that 1 is the solution, in exactitude..

The only solution is

#### Explanation:

Considering

Now, considering