Brian McLogan
How to solve exponential equation by factoring
👉 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...
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
Overview of logs - Free Math Help - Help on math
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Solving exponential equations by using one to one property of logs
👉 Learn all about solving exponential equations. In this playlist, we will explore how to solve exponential equations by using a calculator as well as without. We will explore applying the one to one property and solving exponential...
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
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
Solving exponential equations using the one to one property
👉 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
Rewrite a exponential equation in logarithmic
👉 Learn how to convert exponential equations to logarithmic 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...
Brian McLogan
Transformations that convert one function to another exponential
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
How to eliminate the parameter and graph the equation
👉 Learn all about how to graph exponential functions. In this playlist, we will explore graphing exponential functions with a base e as well as with other numbers. We will graph each exponential function using transformations and then...
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...
Catalyst University
Quantum Harmonic Oscillator: Theory and Example Problem #1
Quantum Harmonic Oscillator: Theory and Example Problem #1
Brian McLogan
Learn how to expand a logarithmic expression and use parenthesis and brackets
👉 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
How to use the chain rule of the reciprocal function
👉 Learn how to find the derivative of a function using the chain rule. 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...
Institute for New Economic Thinking
Victor Yakovenko: What Causes Inequality? An Econophysics Approach
Welcome to our video series titled "New Economic Thinking." The series will feature dozens of conversations with leading economists on the most important issues facing economics and the global economy today. This episode features...
Brian McLogan
Graphing the exponential function with transformations
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Solving an exponential equation with negative exponents
👉 Learn how to solve exponential equations involving fractions. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we make the base of both sides of the equation to be...
Brian McLogan
Condense a natural logarithmic expression
👉 Learn how to condense 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 expanded...
Brian McLogan
How do the logarithmic and exponential parent graphs compare
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Using inverse operations to help us solve 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
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
How to find the inverse of a logarithmic function, f(x) = log2 (x)
👉 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...
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
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...