$\log_b\left(x\right)=\frac{3}{2}\log_b\left(16\right)-\frac{2}{3}\log_b\left(8\right)$

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

$\frac{\left(h-\frac{\left(w-\left(\sin\left(th\right)\cdot hl\right)\right)}{cos\left(th\right)}\right)}{sin\left(th\right)}$

$j-4+7$

$m^{10}-36$

$\int\:xe^{52x}dx$

$\frac{2^4}{4\cdot3^{-2}}$