SOLUTION: Solve. e^(4x^2+12x+9)= 1

Question 202846: Solve. e^(4x^2+12x+9)= 1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Take the natural log of both sides

Evaluate the natural log of to get

Evaluate the natural log of 1 to get 0

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the only solution is
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