$3loga-2logb$

$lg\:x\cdot lg\:3$

$\cos\left(x\right)-\tan\left(x\right)\cos\left(x\right)=0$

$-2\text{-2}+3\left(-5+3\right)-2\left(7-8+3\right)$

$\int\frac{\left(2x+1\right)}{\left(x^2-6x+13\right)}dx$

$x^{\left(3\right)}-6x^{\left(2\right)}+3x+10$

$\frac{dy}{dx}=\frac{e^{x+y}-x-y}{x+y}$