$x\log\left(2\right)=\log\left(\frac{100}{30^8}\right)$

$\frac{x^3+y^3}{x^2-y^2}$

$\frac{z}{3}=\frac{x^2}{1.5}+\frac{\left(y-4\right)^2}{6}$

$\frac{8}{x-2}>2$

$\frac{\frac{72}{17}}{4}+\frac{\frac{123}{17}}{3}=\frac{76}{17}$

$\int2cos\left(x-5\right)dx$

$cos\left(x\right)+cos\left(\frac{\pi\:}{3}-x\right)=-\frac{\sqrt{3}}{2}$