Set the argument of the logarithm greater than zero
Solve the inequality for the variable
Exclude any values that make the argument zero or negative
Include only values that keep the log expression defined
For (y = log_b(f(x))), domain is all (x) such that (f(x) > 0)
If the log has a denominator, exclude values that make the denominator zero
If the log contains a square root, require the radicand to be nonnegative and the log argument to be positive
If the log contains fractions or other expressions, apply all domain restrictions together
Write the final domain in interval notation or set notation