AP Precalculus Review on Sections 2.13, 2.14, and 2.15 (Reteaching and Test Practice Problems)

2.13 Exponential and Logarithmic Equations and Inequalities
2.14 Logarithmic Function Context and Data Modeling
2.15 Semi-log Plots

Sure, here's a brief description of each of the AP precalculus topics you mentioned:

1. **The Natural Log**: The natural logarithm, often denoted as ln, is a special logarithm with base e (approximately 2.71828). It's commonly used in mathematics and science to solve problems involving exponential growth and decay.

2. **Solving Exponential and Logarithmic Equations and Inequalities**: This topic involves solving equations and inequalities that contain exponential or logarithmic terms. Techniques like applying logarithmic properties and simplifying expressions are used.

3. **Rewriting Logarithms as Exponential Functions and Vice Versa**: This skill is about converting between logarithmic and exponential forms of equations. For example, turning log equations into exponential ones and vice versa.

4. **Inverses of Logarithmic and Exponential Functions**: It refers to finding the inverse functions of logarithmic and exponential functions. For instance, if you have y = e^x, its inverse is y = ln(x).

5. **Exponential and Logarithmic Regression on TI-84+**: This involves using a TI-84+ calculator to perform regression analysis on data that follows exponential or logarithmic patterns. It helps in finding equations that best fit the data.

6. **Graphing Logarithmic and Exponential Functions on Semi-Log Plots**: A semi-log plot is a graph where one axis is on a logarithmic scale. This topic teaches how to graph exponential and logarithmic functions on such plots, which can simplify visualization of data with exponential or logarithmic relationships.

Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa
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[nikithgoli]

Thank you for being here when AP classroom was not

[haiyang]

My exam is in 14 minutes… Thank you 😭😭🤍

[jarelmontes]

At 14:28, isn’t 1/2 not included in the domain bcuz if x=1/2, we would get a log(0) and that is not allowed? So shouldn’t the answer be (1/2, 17/2] ?