SOLUTION: if 4^x+1 =2^x-1 find x

Question 1055690: if 4^x+1 =2^x-1 find x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
if 4^x+1 =2^x-1 find x
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Sub u for 2^x

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -7 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -7 is + or - .

The solution is , or
Here's your graph:

=================
No real number solutions.

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