What is the domain of this function?:
y= ln(2x-12)
To determine the domain of the function y = ln(2x-12), we need to consider the restrictions on the natural logarithm function.
The natural logarithm function, ln(x), is defined only for positive values of x. This means that the argument (2x-12) of the ln function must be greater than 0.
To find the domain, we set the argument greater than 0 and solve for x:
2x - 12 > 0
Adding 12 to both sides:
2x > 12
Dividing both sides by 2:
x > 6
So, the domain of the function y = ln(2x-12) is all real numbers greater than 6, or in interval notation, (6, ∞).