Checkpoint: Properties of Logs Solution

Expand.

$\log_{a} \frac{4 x^{2}}{y}$

$\log_{a} 4 x^{2} - (\log_{a} y) \log_{a} 4 + \log_{a} x^{2} - \log_{a} y \log_{a} 4 + 2 \log_{a} x - \log_{a} y$

Note

Q: Explain the property you used in each step of your work.
A: Line 1 is the quotient rule because the quotient of logs tells you to subtract. Line 2 is the product rule because the product is the sum of logs. Line 3 is the power rule because terms raised to a power are the product of the exponent and the log.