Find the domain of log base 5 (x-4)
To find the domain of log base 5 (x-4), we need to ensure that the argument of the logarithm (x-4) is greater than zero, since the logarithm of a non-positive number is undefined.
So, we set x-4 > 0 and solve for x:
x - 4 > 0
x > 4
Therefore, the domain of log base 5 (x-4) is x > 4.