Curated Video
Move Quickly : Exploring First-Order Reactions
First Order Reaction, integrated expression. First Order Reactions part 1
Curated Video
Entropy Explained with an Intuitive Model
While observing this simulation model of a car, you can virtually see entropy and the second law of thermodynamics with your own eyes. In this video you will discover one of the most fundamental laws of nature, which can not only explain...
Curated Video
Logarithmic Properties
This video discusses logarithmic functions. It will show how to change the bases of logarithms and explain the properties of logarithms.
Curated Video
Logarithmic Functions
This video discusses what logarithms are and why we need them. It will look at logarithmic graphs and talk about natural logarithms.
Math Fortress
Differential Equations: Families of Solutions (Level 2 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify general solutions of ordinary differential equations.
Curated Video
Using Natural Logarithms to Solve Exponential Equations
This video explains how to solve equations with exponential variables using natural logarithms. It covers the properties of natural logarithms and demonstrates how to find the value of the variable in different scenarios. The lesson also...
Catalyst University
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Brian McLogan
Using the quotient rule to take the derivative with natural logarithm
👉 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
Find the double derivative of the natural logarithm
👉 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
Applying the chain rule with natural logarithms
👉 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
Solving Exponential equations
👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
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...
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...
Brian McLogan
Understanding the basic transformations of graphs for Pre Calculus
👉 Learn how to determine the transformation of a function. Transformations can be horizontal or vertical, cause stretching or shrinking or be a reflection about an axis. You will see how to look at an equation or graph and determine 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...
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
Solving exponential equations by using the natural log
👉 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
What are natural logarithms and their properties
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
Expanding logarithmic expressions
👉 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
Computing exponential growth word problem
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...
Brian McLogan
Expanding a logarithm using the fourth root
👉 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
Learn how to solve an exponential equation by isolating exponent and taking log 10^x +5=50
👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...