Checkpoint: Contract Expressions with Properties of Logs Solution

Rewrite as a single log.

$3 \log_{2} x - 6 \log_{2} y - 4 \log_{2} z$

$\log_{2} x^{3} - \log_{2} y^{6} - \log_{2} z^{4} \log_{2} x^{3} - (\log_{2} y^{6} + \log_{2} z^{4}) \log_{2} x^{3} - \log_{2} y^{6} z^{4} \log_{2} \frac{x^{3}}{y^{6} z^{4}}$

Note

Q: Why is it important to factor out the negative?
A: So the correct terms are placed in the denominator.

More than one contraction can be completed at a time. Showing each step is helpful for learning the properties of logs.