$\log_{10}\left(x\right)=\log_{10}\left(4\right)-\log_{10}\left(2\right)$

$\frac{dy}{dx}-2y=x^2+5$

$\sec\:^{\left(4\right)}\theta\:-\tan\:^{\left(4\right)}\theta\:=sec^{\left(2\right)}\theta\:+\tan\:^{\left(2\right)}\theta\:$

$\lim_{x\to0}\left(\frac{\ln\left(cos2x\right)}{\ln\left(7x\right)}\right)$

$\int3x\:cot\:x^2dx$

$-n+4-9-5n$

$\sqrt[3]{1000\::\:\left(8\right)}$