In this video we will study the logarithmic function and its relationship with the exponential function. CHAPTERS: 00:00 Introduction 00:21 What is the logarithmic function? 01:03 Graph of a logarithmic function with a base greater than 1 02:54 Analysis of the graph 03:36 Graph of a logarithmic function with a base between 0 and 1 05:30 Analysis of the graph 05:57 Graphs for logarithmic functions 07:20 Analysis of the graph and parameters 09:28 Relationship between exponential and logarithmic functions 11:03 Importance and uses 11:40 Thanks and farewell JOIN THE MEMBERS OF THE CHANNEL AND LEARN TO MAKE ANIMATIONS LIKE MINE: / @bluedot96 Follow me on Twitter: / bluedot96 Follow me on Facebook: / bluedot1196 Follow me on Instagram: / pauloch96 I RECOMMEND THESE VIDEOS: WHAT IS THE DERIVATIVE?: • The DERIVATIVE changed EVERYTHING 🚀 WHAT is... WHAT IS THE INTEGRAL?: • What is the INTEGRAL? MEANING of... THE INTEGRAL FROM SCRATCH: • This THEOREM CHANGED EVERYTHING 🚀 WHAT i... DIFFERENTIATION : • This IDEA OF NEWTON FOUNDED the BASIS... DERIVATION RULES: • The UNKNOWN side of the DERIVATIVE 🧐... WHAT IS CALCULUS?: • Why did CALCULUS CHANGED EVERYTHING? ... WHAT IS A LIMIT?: • A FANTASTIC INTRODUCTION to LIMITS... FORMAL DEFINITION OF LIMIT EXPLAINED IN DETAIL: • WHAT is the LIMIT of a FUNCTION? ▶OF... LIMIT PROPERTIES: • WHAT IS behind the FAMOUS PROPERTIES... WHAT IS OPTIMIZE?: • Why SHOULD YOU LEARN OPTIMIZATION... WHERE DO SIN, COS AND TAN COME FROM?: • REALLY UNDERSTANDING WHAT SIN, COS... UNDERSTANDING SIN, COS AND TAN: • UNDERSTANDING the SIN, COS AND TAN FUNCTIONS You can support the making of more videos of this style by being a MEMBER OF THE CHANNEL, with your help I will be able to make more videos until I complete a playlist with university mathematics from the most basic to the most complex through animations! ************************************************************************************************* The animations in this video were made with Manim (Mathematical animation), a library for Python created by Grant Sanderson (3Blue1Brown). Personally, I find it a very useful tool to better explain many concepts in a visual way. If you are interested, here is the link to the Manim library for Python: https://github.com/3b1b/manim VIDEOS: PEXELS Without further ado, thank you for your attention and see you in the next video