Question 114126
You cannot take the logarithm of a negative number or of zero.
.
Therefore in the function f(x) = ln(12x - 48), the quantity in the parentheses must be 
greater than zero.
.
Therefore you can write the inequality:
.
{{{12x - 48 > 0}}}
.
To solve for x, begin by adding 48 to both sides to get rid of the -48 on the left side. When
you do that addition you get:
.
{{{12x > 48}}}
.
Next divide both sides by 12, the multiplier of x to get:
.
{{{x>48/12}}}
.
which simplifies to:
.
{{{x > 4}}}
.
So the domain of x is that x can take any value greater than +4.
.