$\log x+\log\left(x-3\right)=1$

$\log\left(x\right)=3$

$2log\left(x\right)-log\left(x+6\right)=0$

$\log_3\left(x+4\right)+\log_3\left(x-4\right)=2$

$\log\left(4X^2\right)=128$

$\frac{d}{dx}\left(sin\left(x\right)^{ln\left(x\right)}\right)$

$\log_2\left(x-2\right)+\log_2\left(x+1\right)=2$