Answer:
± 707.106
Step-by-step explanation:
㏒([tex]2x^{2} +2[/tex])= 6
[tex]10^{log(2x^{2} +2)} = 10^{6}[/tex]
[tex]2x^{2} +2 = 10^{6}[/tex]
[tex]2(x^{2} +1) = 10^{6}[/tex]
[tex]x^{2} +1= \frac{10^{6}}{2}[/tex]
[tex]x^{2} +1= 500000[/tex]
[tex]x^{2}= 500000-1[/tex]
[tex]x^{2}= 499999[/tex]
X = [tex]\sqrt{499999}[/tex]
x = ± 707.106
