Rational inequalities with transformed inputs

It is given that $f(x)=\dfrac{x-5}{2x-3}$. Using an algebraic method, solve the inequality $f(x)\leq\dfrac23$.

Hence find the exact range of values of $x$ for which

(i) $f(\ln x)\leq\dfrac23$,

(ii) $f\left(\left|x+\dfrac12\right|\right)\leq\dfrac23$.