SOLUTION: I am trying to solve this exponent equation: 3^2-x^2=8 the whole exponent is 2-x^2. I have the answer of + or - .3274, but would like to see the solution outlined. Thank you.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I am trying to solve this exponent equation: 3^2-x^2=8 the whole exponent is 2-x^2. I have the answer of + or - .3274, but would like to see the solution outlined. Thank you.      Log On


   

Question 289247: I am trying to solve this exponent equation: 3^2-x^2=8 the whole exponent is 2-x^2. I have the answer of + or - .3274, but would like to see the solution outlined. Thank you.
Found 2 solutions by dabanfield, richwmiller:
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
3^2-x^2=8
9 - x^2 = 8

x^2 = 9 - 8
x^2 = 1
x^2 - 1 = 0
(x-1)*(x+1) = 0
x-1 = 0 or
x+1 = 0
So x = 1 or x = -1

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
I think the other tutor misread the problem.
3^(2-x^2)=8
3^2*3^(-x^2)=8
9*3^(-x^2)=8
1/(3^(x^2))=8/9
3^(x^2)=9/8
x=-sqrt((log(9/8))/(log(3)))
x=-0.327431
x=sqrt((log(9/8))/(log(3)))
x=0.327431
= your answer