AP®︎ Precalculus: Topic 2.13 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 2.13 of AP Precalculus – Exponential and Logarithmic Equations and Inequalities.
Questions List
Topic 2.13
Question 1 Easy
Solve .
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Precalculus Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.
Topic 2.13: Exponential and Logarithmic Equations and Inequalities
Learning Objective: 2.13.A
Solve exponential and logarithmic equations and inequalities.
Essential Knowledge: 2.13.A.1
Properties of exponents, properties of logarithms, and the inverse relationship between exponential and logarithmic functions can be used to solve equations and inequalities involving exponents and logarithms.
Essential Knowledge: 2.13.A.2
When solving exponential and logarithmic equations found through analytical or graphical methods, the results should be examined for extraneous solutions precluded by the mathematical or contextual limitations.
Essential Knowledge: 2.13.A.3
Logarithms can be used to rewrite expressions involving exponential functions in different ways that may reveal helpful information. Specifically, .
Learning Objective: 2.13.B
Construct the inverse function for exponential and logarithmic functions.
Essential Knowledge: 2.13.B.1
The function is a combination of additive transformations of an exponential function in general form. The inverse of can be found by determining the inverse operations to reverse the mapping.
Essential Knowledge: 2.13.B.2
The function is a combination of additive transformations of a logarithmic function in general form. The inverse of can be found by determining the inverse operations to reverse the mapping.
