Brian McLogan
Overview of logs using exponents
👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
How to take the derivative of logarithm base 4
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Virtually Passed
Math Puzzle - Running on sand
What path should you run along the beach to get from point A to point B in the least time? As you get closer to the sea, the faster you run!
Brian McLogan
Transfering from logarithmic form to exponential
👉 Learn how to convert logarithmic equations to exponential equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Curated Video
Using Exponential Equations and Natural Logarithms to Solve Real Life Problems
In this video, the teacher explains how to solve a real-life exponential equation using the natural logarithm. The example used is determining how long it will take for hot soup to cool down to a comfortable temperature. The teacher...
Brian McLogan
Solving an exponential equation by taking log of both sides
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Catalyst University
Phase Diagrams | The Clausius-Clapeyron Equation [Complete Derivation]
In this video, I show the complete derivation of both the Clausius Equation & the related Clausius-Clapeyron Equation.
Curated Video
Solve an Exponential Word Problem of Base 2
This video covers how to solve word problems involving exponential equations of base 2 using logarithms. The examples given include determining the number of times a stack of paper needs to be doubled to reach the moon and calculating...
Brian McLogan
How to take the derivative using chain rule with natural log and cosine
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
Evaluate the integral using natural logarithms
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Catalyst University
Series | The Integral Test: Theory and 1 Full Example
Series | The Integral Test: Theory and 1 Full Example
Catalyst University
Phase Diagrams | The Clausius-Clapeyron Equation [Example #1]
In this video, we use the Clausius-Clapeyron Equation to calculate the enthalpy of vaporization for a substance.
Curated Video
Modeling Equations for Continuous Compounding and Solving for Time
In this video, the teacher explains how to solve for time in a continuously compounding function by modeling an equation. They demonstrate how to calculate the amount of money you would have to make if you compounded quarterly, monthly,...
Brian McLogan
Solving a basic exponential equation
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Brian McLogan
How to take the log of both sides to implicitly derive a function
👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
How to use properties of logs to expand an expression with roots
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Evaluating the integral with trigonometry logarithms and u substitution
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Master Evaluating a Logarithmic Expression using the Properties of Logarithms
Welcome, ladies and gentlemen. So what I'd like to do is show you how to evaluate some logarithmic expressions when we're just kind of using the properties of logarithms. And what I did here is-- actually, let me step out of the camera...
Math Fortress
Differential Equations: Implicit Solutions (Level 2 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate...
Brian McLogan
Solving a natural log in two different ways
👉 Learn how to solve natural logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a natural logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the...
Brian McLogan
Evaluate the definite integral using u sub with natural log
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Find the antiderivative using u substitition with a natural logarithm
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Use the definition of a derivative to evaluate to natural logarithm derivative
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...