  A class of log-trigonometric integrals are evaluated in terms of elliptic
functions. From this, by using the elliptic integral singular values, one can
obtain closed form evaluations of integrals such as \[
\int\limits_0^{{\pi}/{2}}\ln\left(\cosh\frac{x}{\sqrt{3}}+\cos\frac{\ln
\left(2\cos
x\right)}{\sqrt{3}}\right)dx=\frac{\pi^2}{8\sqrt{3}}-\frac{\pi}{4}\ln\left(1+\sqrt{3}\right)+\frac{13\pi}{24}\ln
2. \]
