Question 697244
You cannot take the log of a negative number or 0. So the argument 2x-1 must be positive


2x - 1 > 0


2x > 1


x > 1/2


So this means...




Domain (in English): set of all real numbers that are greater than 1/2.




Domain in set-builder notation: <img src="http://latex.codecogs.com/gif.latex?\large \left\{x|x\in \mathbb{R},x > \frac{1}{2}\right\}" title="X" />




Domain in interval notation: <img src="http://latex.codecogs.com/gif.latex?\large \left(\frac{1}{2},\infty\right)" title="X" />