$\log_x\left(64\right)=3$
$log\left(x+1\right)=log\left(x-1\right)+3$
$\log\left(x-1\right)+\log\left(x+1\right)=2\log\left(x+2\right)$
$\log_x\left(\frac{1}{8}\right)=-3$
$\log_x\left(100\right)-\log_x\left(25\right)=2$
$\log_2\left(x\right)-\log_2\left(10\right)=\log_2\left(9.3\right)$
$\log\left(\left(y+2\right)\right)=1+\log\left(\left(2y-6\right)\right)$
Are those equations in which the unknown variable appears within a logarithm.
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