But logarithms are also used for many other things, including early on to perform computations – before calculators and computers were around. We’ll soon see that Logs can be used to “get the variable in the exponent down” so we can solve for it. I’m not sure exactly why, but you can do so many awesome things with them! I have to admit that logs are one of my favorite topics in math. Introduction to Logarithms (Logs) What is a Log and Why do we Need Them? Inverses of Exponential and Logarithmic Functions (in Inverses Section)īasic Log Properties, including Shortcuts Using Logs (and Exponents) in the Graphing CalculatorĪpplications of Logs, including Half-Life Solving Exponential and Logarithmic Equations using Logs Applications of Integration: Area and Volume.Exponential and Logarithmic Integration.Riemann Sums and Area by Limit Definition.Differential Equations and Slope Fields.Antiderivatives and Indefinite Integration, including Trig Integration.Derivatives and Integrals of Inverse Trig Functions. Exponential and Logarithmic Differentiation.Differentials, Linear Approximation, and Error Propagation.Curve Sketching, including Rolle’s Theorem and Mean Value Theorem.Implicit Differentiation and Related Rates.Equation of the Tangent Line, Tangent Line Approximation, and Rates of Change.Basic Differentiation Rules: Constant, Power, Product, Quotient, and Trig Rules.Differential Calculus Quick Study Guide.
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