Question 472323: |2^(x^2)-8|=3
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! |2^(x^2)-8|=3
two conditions can satisfy this equation:
2^(x^2)-8=3
2^(x^2)=11
(x^2)log2=log11
x^2=log11/log2=3.4594
x=±√(3.4594)
x=±1.8599
Check:
|2^(x^2)-8|
|2^(3.4594)-8|
|10.9998-8|=2.9998
..
other condition
-(2^(x^2)-8)=3
-2^(x^2)+8=3
-2^(x^2)=-5
2^(x^2)=5
(x^2)log2=log5
x^2=log5/log2=2.3219
x=±√(2.3219)
x=1.5238
Check:
|(2^(x^2)-8)|
|2^2.3219-8|
|4.9999-8|
|-3.0001|=3.0001
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