# 1.3 Logarithms

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

## 1 Intro to Logs

<iframe width="300" height="auto" src="https://www.youtube.com/embed/Z5myJ8dg_rM" title="Logarithms | Logarithms | Algebra II | Khan Academy" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>

a) Solve $\log_2 8$.

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b) Solve $\log_3 81$.

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c) Solve $\log_4 \frac{1}{4}$.

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d) Solve $\log_9 3$.

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## 2 Logarithm Product Rule

<iframe width="300" height="auto" src="https://www.youtube.com/embed/PupNgv49_WY" title="Introduction to logarithm properties | Logarithms | Algebra II | Khan Academy" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>

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

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

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## 3 Logarithm Exponent Rule

<iframe width="300" height="auto" src="https://www.youtube.com/embed/TMmxKZaCqe0" title="Introduction to logarithm properties (part 2) | Logarithms | Algebra II | Khan Academy" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>

a) Fill in the blank and then solve: $\log_2 8^3 = \_\_ \log_2 8$

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

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