Log of the odds in Logistic Regression In simple logistic regression i noticed that many researcher neglect the constant part of the logistic regression equation.
Log(odds) = a + b Gender (say that 0 = Female and 1 = Male)
So the log of the odds of cancer when the case is male is b ... and odds of course is exp(b)
but shouldn't the log of the odds equals b + a? because log(odds) = a + b x 1 = a + b

My guess is that you've misinterpreted what someone wrote and they meant that males have $b$ higher log-odds than females.
$$
\log(odds) = a+bx\\
\log(odds) = a+b\text{ (male)}\\
\log(odds) = a+0\text{ (female)}\\
$$
Then subtract to see that $\log(odds)$ for males is $b$ higher than $\log(odds)$ for females.
