Instructional Video7:48
Brian McLogan

Take the log of both sides to find the derivative

12th - Higher Ed
👉 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...
Instructional Video1:24
Brian McLogan

Write the tangent line through a point of natural log equation

12th - Higher Ed
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Instructional Video5:16
Brian McLogan

Take the natural log of both sides to implicitly derive the equation

12th - Higher Ed
👉 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...
Instructional Video3:29
Brian McLogan

Learn how to apply the properties of logarithms to implicitly differentiate an equation

12th - Higher Ed
👉 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...
Instructional Video4:21
Brian McLogan

Implicit differentiation by taking the log of both sides

12th - Higher Ed
👉 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...
Instructional Video6:28
Curated Video

Solving Exponential Equations with Logarithms

K - 5th
In this lesson, students learn how to solve exponential equations when the base is not 10 or E by using logarithms. They are taught the property that the logarithm of a base to the X power is equal to X times the logarithm of the base....
Instructional Video1:56
Brian McLogan

Using the quotient rule to take the derivative with natural logarithm

12th - Higher Ed
👉 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...
Instructional Video6:15
Brian McLogan

Solving an exponential equation with e on the denominator

12th - Higher Ed
👉 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...
Instructional Video3:20
Brian McLogan

Expanding the logarithm so that you can take the derivative

12th - Higher Ed
👉 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...
Instructional Video6:46
Brian McLogan

Using inverse properties to solve an exponential equation

12th - Higher Ed
👉 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...
Instructional Video3:45
Brian McLogan

Solving an exponential equation using the one to one property

12th - Higher Ed
👉 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...
Instructional Video1:29
Brian McLogan

Find the derivative by using the properties of logarithms

12th - Higher Ed
👉 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...
Instructional Video1:34
Brian McLogan

How the properties of logarithms can help you take the derivative

12th - Higher Ed
👉 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...
Instructional Video10:08
Brian McLogan

Solving a trigonometric equation with half angle formulas

12th - Higher Ed
👉 Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...
Instructional Video4:38
Brian McLogan

Solving a natural logarithmic equation using the quadratic formula

12th - Higher Ed
👉 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...
Instructional Video8:21
Brian McLogan

Using half life to determine the age of a piece of coal

12th - Higher Ed
👉 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...
Instructional Video1:55
Brian McLogan

Take the derivative using product rule with natural logarithms

12th - Higher Ed
👉 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...
Instructional Video1:28
Brian McLogan

Learn to use the properties of logarithms to take the log of the expression

12th - Higher Ed
👉 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...
Instructional Video3:03
Brian McLogan

Applying equality property of logarithms to solve by factoring, log4 (x^2 -4)=log4 (-x+2)

12th - Higher Ed
👉 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...
Instructional Video2:12
Brian McLogan

Implicit differentiation without using the properties of logarithms

12th - Higher Ed
👉 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...
Instructional Video2:55
Brian McLogan

Apply the equality property of logarithms to solve an equation, log13 (x^2 -4)=log13 (3x)

12th - Higher Ed
👉 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...
Instructional Video6:23
Brian McLogan

How to find the solutions when solving a logarithmic equation

12th - Higher Ed
👉 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...
Instructional Video1:07
Brian McLogan

Using the power rule of logarithms to take the derivative of a natural log

12th - Higher Ed
👉 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...
Instructional Video3:04
Brian McLogan

Solving Exponential equations

12th - Higher Ed
👉 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...