The logarithmic function is defined only when the input is positive, so this function is defined when 5−2x>0−2x>−5x< 25 The input must be positive.Subtract 5.Divide by −2 and switch the inequality. The domain off\left(x\right)=\mathrm{log}\left(5 - 2x\right)f(x)=log(5−2x) is \left(-\infty ,\frac{5}{2}\right)(−[infinity], 25 ).