Brian McLogan
Solving an exponential equation with e on the denominator
👉 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
Using inverse properties to solve an exponential equation
👉 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...
Curated Video
Exponential Decay: Understanding the Formula and Solving Problems
This is a lesson on exponential decay, which is the opposite of exponential growth. The presenter explains that exponential decay occurs when the growth rate is negative and provides examples of how to calculate the values of a and b in...
Brian McLogan
Use the product rule to take the derivative of an exponential equation
👉 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
Using half life to determine the age of a piece of coal
👉 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
Using the inverse of an exponential equation to find the logarithm
👉 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
Learn to find the derivative of exponential with chain rule
👉 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
Learn to take the second derivative of exponential chain rule
👉 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
Derivative of exponential with trig functions inside chain rule
👉 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...
Curated Video
Presentations on Exponential Growth: Calculating Population Growth and the Rate of Change
This video is a lecture presentation on solving questions involving the general exponential formula, specifically in the context of population growth. The presenter goes through three separate questions, demonstrating how to use the...
Brian McLogan
Applying equality property of logarithms to solve by factoring, log4 (x^2 -4)=log4 (-x+2)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Curated Video
Introduction to Exponential Functions: Graphing and Transformations
This video covers presentations on exponential functions and explores the special exponential function of y = E to the X. The video demonstrates how to calculate gradient functions on exponential graphs and how to sketch variations of...
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...
Curated Video
Using Log Graphs to Estimate Parameters in Exponential Functions
This is a lecture presentation on how to use log graphs to estimate parameters in exponential functions. The presentation explains how to plot log graphs of exponential functions and how to determine the power and constant terms from the...
Brian McLogan
Apply the equality property of logarithms to solve an equation, log13 (x^2 -4)=log13 (3x)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
How to find the solutions when solving a logarithmic equation
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of 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
Apply the equality of logarithms to solve, log2 (4x - 6) = log2 (2x + 8)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Applying the equality of logarithms to solve an equation, log3 (3x + 8) = log3 (x^2 + x)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
KnowMo
Understanding Reciprocal and Exponential Graphs
The video discusses reciprocal and exponential graphs and their shapes. The instructor explains the formula for reciprocal graphs and how the denominators affect the curve shape. They also cover the negative reciprocal graph and its...
Curated Video
Writing Exponential Equations from Story Problems
In this video, the teacher explains how to write exponential equations from story problems. They emphasize the importance of clearly defining variables and finding the relevant information in the problem.
Brian McLogan
How to solve logarithmic equations
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
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...
Brian McLogan
Taking the derivative of a exponential equation using the quotient rule
👉 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...