Answer:
All real numbers greater than 6.
Step-by-step explanation:
To find the domain we have to find if there are intervals where the function is not defined.
In this case, we have a logarithm.
Logarithms of any base are not defined for 0 or values less than zero (negative numbers). So the logarithm argument must be greater than zero.
For the above to be true: [tex]x-6[/tex] must be greater than zero.
[tex]x-6[/tex] > 0
[tex]x[/tex] > 6
If x is greater than 6, the argument of the logarithm will be greater than zero and the function will be defined.
The anser is: All real numbers greater than 6.
