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Logarithm Equation

Question 3
What is the domain of the function log(2x2 - 3) ?
Solution
The domain of a log(x) function is that the variable x must be greater than zero.
From this, we have 2x2 - 3 > 0
2x2 > 3
x2 > 1.5
then x < -1.22 or x > 1.22
Therefore, the domain of the given function is x must be larger than 1.22 or smaller than -1.22