$2\log_a\left(3\right)-3\log_a\left(2\right)+4\log_a\left(1\right)$

$\int\frac{x}{\left(x+x\ln\left(x^2\right)\right)^2}dx$

$\sin^2x-cos^2x=2\sin^2x-1$

$7-3\left(4-5\right)$

$\frac{9x^3+6x-3x}{2}$

$\frac{6x^2-24x-462}{x+7}$

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