SOLUTION: I am having a real difficulty in figuring out how to solve these exponential equations. Your help is greatly appreciated. Solve each exponential equation. Give answers to four dec

Question 82632: I am having a real difficulty in figuring out how to solve these exponential equations. Your help is greatly appreciated.
Solve each exponential equation. Give answers to four decimal places when necessary:
2^x^2-2x =8 and 3^x^2+4x = 1/81
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
and

For the 1st one,
subtract 8 from both sides

divide both sides by 2

The easiest way is to complete the square
Take half the coefficient of x, square it, then add that
to both sides
To set it up, I'll add 4 to both sides

add this to both sides

Notice the left side is a perfect square

Take the sqrt of both sides

You can check this by plugging it back into the equation for x
------------------------------

divide both sides by 3

Complete the square again

I could have made a mistake, but that's the method
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