$\frac{1}{2}\log\left(4x+1\right)+\frac{1}{2}\log\left(x-3\right)-\log\left(x^4-x^2-7\right)$

$4=3-\cos\left(x+\frac{\pi}{4}\right)$

$\frac{x^{10}}{x^2}$

$4m^3\cdot3n^2$

$\frac{x+1}{3}-2x\ge\frac{1-5x\:\:}{4}$

$\int4e^{5^x}dx$

$\lim_{x\to\infty}\left(1+\frac{2}{x}\right)^{\frac{x}{15}}$