Question

Solve log 2x2 + 2 = 6. Round to the nearest thousandth if necessary.

Answer 1

x= √2 , -√2
or x ≈ 1.41 , -1.41

I hope this helps ya out :)

Answer 2

± 707.106

Explanation:

㏒(
`2x^(2) +2`)= 6

`10^{log(2x^(2) +2)} = 10^(6)`

`2x^(2) +2 = 10^(6)`

`2(x^(2) +1) = 10^(6)`

`x^(2) +1= (10^(6))/(2)`

`x^(2) +1= 500000`

`x^(2)= 500000-1`

`x^(2)= 499999`

X =
`√(499999)`

x = ± 707.106