$\log\left(3x\right)=\log\left(4\right)+\log\left(x-2\right)$

$6\left(x-3\right)\:+\:3\left(2x+7\right)$

$\int\left(\frac{6x+17}{x^2+4x+5}\right)dx$

$\frac{x^3+1}{x^2}$

$\lim_{x\to3}\left(\frac{\left(2x^2+x-3\right)}{3x-9}\right)$

$\frac{dy}{dx}=\sin\left(5t\right)$

$\frac{dy}{dx}=y^{\frac{-1}{2}}\left(1-y^{\frac{3}{2}}\right)$