Module 3 - Topic 2 - Exponential and Logarithmic Equations
"In this topic, students use their understanding of exponential and logarithmic functions to solve exponential and logarithmic equations. Students begin by building understanding and fluency with exponential and logarithmic expressions, including converting between the two, estimating the values of logarithms, and evaluating logarithmic expressions for given values. They then use the properties of exponents to derive the properties of logarithms."
"Students explore alternative methods for solving logarithmic equations. They learn the Change of Base Formula and learn to solve exponential equations by taking the logarithm of both sides. They analyze solution strategies to solve exponential equations. Students solve for the base, argument, or exponent of logarithmic equations, using the properties of logarithms. Finally, they write and solve exponential and logarithmic equations arising from real-world contexts."
"Since bacteria typically grow by splitting, a bacterial population in a Petri dish is an excellent example of exponential growth."
- Carnegie Textbook