1.3 Logarithms

The use of calculators or other technologies are strictly prohibited for this assignment.

1 Intro to Logs

1. Solve \(\log_2 8\).

2. Solve \(\log_3 81\).

3. Solve \(\log_4 \frac{1}{4}\).

4. Solve \(\log_9 3\).

2 Logarithm Product Rule

1. Fill in the blank and then solve: \(\log_2 (4 \times 8) = \log_2 4 + \_\_\)

2. Fill in the blank and then solve: \(\log_3 (3 \times 9) = \log_3 3 + \_\_\)

3 Logarithm Exponent Rule

1. Fill in the blank and then solve: \(\log_2 8^3 = \_\_ \log_2 8\)

2. If \(\log_2(x) = 3\) and \(\log_2(y) = 2\), use log rules to find \(\log_2(x^2 y)\).