# Math Help - Help me solve this equation please.

1. ## Help me solve this equation please.

3^[(sqrt x) -1]+3^[2-(sqrt x)]=12

2. ## Re: Help me solve this equation please.

This forum is for introductions. The forums most appropriate for this topic is either algebra or pre-calculus.

Anyway, I think I would rewrite the equation as follows:

$3^{\sqrt{x}-1}+3^{2-\sqrt{x}}-12=0$

Multiply through by $3^{\sqrt{x}+1}=3\cdot3^{\sqrt{x}}$:

$\left(3^{\sqrt{x}} \right)^2-36\left(3^{\sqrt{x}} \right)+27=0$

Now you have a quadratic in $3^{\sqrt{x}$.

3. ## Re: Help me solve this equation please.

$\displaystyle a^{m-n} = \frac{a^m}{a^n}$

Does this make life easier?

4. ## Re: Help me solve this equation please.

[3^(sqrtx)]/3 + 3^2/3(sqrtx)=12?

5. ## Re: Help me solve this equation please.

some advice ... look at post #2 again