All the LOGARITHMS needed for calculus actually explained
Self-study with Brilliant at https://brilliant.org/TreforBazett to get started for free for 30 days, and to get 20% off an annual premium subscription! In this video we're going to see all the logarithm rules you should know to take a calculus course. We define logarithm as the inverse function to the exponential, so if b^x=y then log_b y = x. We really like it when the base is e, and this gives the natural logarithm. There are a bunch of rules like for products and quotients and powers but for all of these you can figure out the logarithm rule by converting to exponents and using your rules for exponents. ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: / drtrefor ►MATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett ►CURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes 0:00 Exponentials vs Logarithms 1:55 Natural Logarithms 3:26 Special Numbers 3:53 Graphing Logs 6:13 Inverse Functions 7:53 Product Rule 10:38 Power Rule 12:17 Change of Base Rule 13:52 Integral Definition 14:40 Brilliant.org/TreforBazett COURSE PLAYLISTS: ►DISCRETE MATH: • Discrete Math (Full Course: Sets, Logic, P... ►LINEAR ALGEBRA: • Linear Algebra (Full Course) ►CALCULUS I: • Calculus I (Limits, Derivative, Integrals)... ►CALCULUS II: • Calculus II (Integration Methods, Series, ... ►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivariable Calculus (Vect... ►VECTOR CALCULUS (Calc IV): • Calculus IV: Vector Calculus (Line Integra... ►DIFFERENTIAL EQUATIONS: • Ordinary Differential Equations (ODEs) ►LAPLACE TRANSFORM: • Laplace Transforms and Solving ODEs ►GAME THEORY: • Game Theory OTHER PLAYLISTS: ►Cool Math Series: • Cool Math Series ►Learning Math Series: • 5 Tips To Make Math Practice Problems Actu... ►LaTeX: • Intro to LaTeX **Full Tutorial** Part II ... SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok: / drtrefor ►Instagram (photography based): / treforphotography
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