TeX Quellcode:

\begin{array}{ccl} \log_b(3x)+\log_b(x)-\left(2\log_b(x)-\log_b(y)\right) &=& \log_b(3x)+\log_b(x)-2\log_b(x)+\log_b(y) \cr\cr &=& \log_b(3x)+\log_b(x)-\log_b\left(x^2\right)+\log_b(y) \cr\cr &=& \log_b\left(\dfrac{3x \cdot x \cdot y}{x^2}\right) \cr\cr &=& \log_b\left(3y\right) \end{array}