Logarithms and Exponential Equations Problem Solving Tutorial
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In this math tutorial, learn about the properties of logarithms and how to use logarithms to solve exponential equations. Inverse functions are also solved for in the last problem. Infinite Powers, How Calculus Reveals the Secrets of the Universe: https://amzn.to/37PBMjb.
๐ด Calculus 1, Lesson 1.1: Linear Functions (3Blue1Brown SoME2): https://www.youtube.com/watch?v=lmCjnxzIals
๐ด Calculus 1, Lesson 1.2: Exponential Functions: https://www.youtube.com/watch?v=47ZqW19AjD4
๐ด Calculus 1, Lesson 1.3: Quadratic Functions, Transformations of Functions, and Function Composition: https://www.youtube.com/watch?v=1T58CnSME4g
๐ด Calculus 1, Lesson 1.4: Logarithmic Functions (Intro to Horizontal Compressions & Inverse Functions): https://www.youtube.com/watch?v=oS-gvIoJf60
๐ด AP Calculus AB Exam Review: Practice Exam Problems & Solutions (Multiple Choice, No Calculator): https://www.youtube.com/watch?v=2AG_Dt3x7q0
๐ด AP Calculus AB Exam Review: Free Response Practice Exam Problems & Solutions: https://www.youtube.com/watch?v=RLgUwP44V_M
๐ด AP Calculus BC Exam Review: Practice Exam (30 Question Multiple Choice, No Calculator): https://www.youtube.com/watch?v=1Q7ALcwT97A
๐ด AP Calculus BC Exam Review: Free Response Practice Exam Problems & Solutions: https://www.youtube.com/watch?v=ZWisJEDP44w
๐ด Calculus 1 Exam 1 Review Problems and Solutions (Precalculus, Limits, Continuity, Derivatives): https://www.youtube.com/watch?v=UjmvUwvd7c4
๐ด Calculus 1 Course, Lecture 1: The Big Ideas (Rates & Areas, the Infinity Principle & Circular Area): https://www.youtube.com/watch?v=2V_ehJC5QUY
๐ด Calculus 1 Course Lecture Playlist: https://www.youtube.com/playlist?list=PLmU0FIlJY-MkFrKtM0S0NLu-TxZa5jBIx
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(0:00) Logarithm examples (Definition of logarithms, including common logarithm and natural logarithm)
(6:58) Simplify with properties of logarithms
(15:23) Solve exponential equations with logarithms
(25:39) Doubling time and tripling time for exponential growth
(29:26) Half life for exponential decay
(37:25) Find inverse function of an exponential function
(41:35) Find inverse function of a logarithmic function
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