SOLUTION: What does x equal in the following equations? Solve for x. 3 ^(x^2 + 4x) = 3^(-4) Solve for x. 4 ^(2x)=2^(3x + 2) Solve for x. 8 ^ (2x) = 2 ^(2x + 8)

Algebra ->  Sequences-and-series -> SOLUTION: What does x equal in the following equations? Solve for x. 3 ^(x^2 + 4x) = 3^(-4) Solve for x. 4 ^(2x)=2^(3x + 2) Solve for x. 8 ^ (2x) = 2 ^(2x + 8)      Log On


   

Question 1033284: What does x equal in the following equations?
Solve for x.
3 ^(x^2 + 4x) = 3^(-4)
Solve for x.
4 ^(2x)=2^(3x + 2)
Solve for x.
8 ^ (2x) = 2 ^(2x + 8)
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
What does x equal in the following equations?

Solve for x.

3%5E%28x%5E2+%2B+4x%29 = 3%5E%28-4%29  --->  x%5E2+%2B+4x = -4  --->  x%5E2+%2B+4x+%2B+4 = 0  --->  %28x%2B2%29%5E2 = 0  --->  x = -2.


Solve for x.

4%5E%282x%29 = 2%5E%283x+%2B+2%29  --->  2%5E%282%2A%282x%29%29 = 2%5E%283x+%2B+2%29  --->  2*(2x) = 3x + 2  --->  4x = 3x + 2  --->  x = 2.


Solve for x.

8%5E%282x%29 = 2%5E%282x+%2B+8%29  --->  2%5E%283%2A%282x%29%29 = 2%5E%282x+%2B+8%29  --->  3*(2x) = 2x + 8  --->  6x = 2x + 8  --->  4x = 8  --->  x = 2.