Find the domain of f(x)=log(2x-1)

Answer 1

For f(x) to be defined, we require 2x-1 to be greater than 0 since log is only defined for positive values. Therefore, we set 2x-1 > 0 and solve for x:

2x > 1

x > 1/2

Therefore, the domain of f(x) is all real numbers greater than 1/2:

Domain: x > 1/2