Instructional Video2:11
Brian McLogan

How to condense a log expression with parenthesis

12th - Higher Ed
👉 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...
Instructional Video1:05
Brian McLogan

Expanding a logarithmic expression then simplifying the solution

12th - Higher Ed
👉 Learn all about condensing and expanding logarithms. In this playlist, we will learn how to condense and expand logarithms by using the rules of logarithms. We will use the product, quotient, and power rule for logarithms that include,...
Instructional Video1:47
Brian McLogan

Condensing a logarithmic expression with parenthesis

12th - Higher Ed
👉 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...
Instructional Video1:38
Brian McLogan

Learn how to graph a logarithm with reflections over x and y axis

12th - Higher Ed
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Instructional Video5:00
Brian McLogan

Graphing an logarithmic equation using transformations

12th - Higher Ed
👉 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...
Instructional Video3:08
Brian McLogan

Using quotient rule of logarithms to solve an equation, log4 (n + 1) - log4 (n - 2) = 1

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 Video1:43
Brian McLogan

Using multiple properties of logarithms to expand an expression

12th - Higher Ed
👉 Learn how to expand logarithms using the product/power rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to the...
Instructional Video1:31
Brian McLogan

Solving logarithmic equations

12th - Higher Ed
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Instructional Video3:22
Brian McLogan

Solve an exponential equation by taking log of both sides & approximating the value

12th - Higher Ed
👉 Learn about solving exponential equations. Exponential equations are equations involving exponents. To solve an exponential equation, we express the terms in both sides of the equality sign as single terms. Then, we express the single...
Instructional Video2:18
Brian McLogan

Learn to convert between exponential form and logarithmic form

12th - Higher Ed
👉 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...
Instructional Video1:17
Brian McLogan

Learn how to solve a logarithmic equation by rewriting as an exponential equation

12th - Higher Ed
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Instructional Video2:46
Brian McLogan

How do you solve an exponential equation with e as the base

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 Video2:52
Brian McLogan

Expanding a logarithm as a difference of multiple logarithms

12th - Higher Ed
👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to...
Instructional Video1:33
Brian McLogan

Convert an equation to exponential form to solve

12th - Higher Ed
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Instructional Video7:34
Brian McLogan

Graphing a logarithmic equation and finding the x intercept

12th - Higher Ed
👉 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...
Instructional Video2:47
Brian McLogan

Solving a logarithmic equation with one solution

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 Video1:11
Brian McLogan

Learn how to solve logarithmic equation using properties of logs and one to one

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 Video1:56
Brian McLogan

Learn how to solve an exponential function when it is negative

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 Video0:58
Brian McLogan

How do you convert between logarithmic and exponential

12th - Higher Ed
👉 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...
Instructional Video2:06
Brian McLogan

Expanding logarithmic expressions

12th - Higher Ed
👉 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...
Instructional Video0:42
Brian McLogan

Take the derivative of the natural log function

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 Video1:23
Brian McLogan

Solving exponential equations

12th - Higher Ed
👉 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...
Instructional Video1:26
Brian McLogan

Solving an equation when they have the same base as an exponent

12th - Higher Ed
👉 Learn how to solve exponential equations with the same base. 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 equal...
Instructional Video1:44
Brian McLogan

Solving a natural logarithm for the given problem

12th - Higher Ed
👉 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...