$6\log_b\left(2\right)-4\log_b\left(5\right)$

$\lim_{n\to0}\left(\frac{\left(n+1\right)^{n+1}x}{n^n}\right)$

$4x^3\:+\:2x^2\:-\:30x\:\:$

$\lim_{x\to\infty}\left(\frac{ln\left(3\right)}{\left(1+ln\left(x\right)\right)}\right)$

$\left(xy+2x+y+2\right)dx+\left(x^2\right)dy=0$

$2\sin\left(x\right)\tan\left(x\right)-\sqrt{3}\tan\left(x\right)=0$

$e^{x^3}^{+5x+1}$