# Math Help - Equation solving

1. ## Equation solving

Well I just need help solving this equation: $5^{\frac{x}{2}}-2^x=1$

2. ## Re: Equation solving

Originally Posted by sbhatnagar
Well I just need help solving this equation: $5^{\frac{x}{2}}-2^x=1$
1. By first inspection x = 2

2. Since $5^{\tfrac x2}$ and $2^x$ are both increasing continuously this solution must be the only one.

3. ## Re: Equation solving

I know that x = 2 but can you show me the steps also?

4. ## Re: Equation solving

Originally Posted by sbhatnagar
I know that x = 2 but can you show me the steps also?
You were told that this was just from inspection...

5. ## Re: Equation solving

Originally Posted by sbhatnagar
I know that x = 2 but can you show me the steps also?
The 'steps' are: $5^{2/2}- 2^2= 5- 4= 1$.