Instructional Video5:01
Brian McLogan

Expanding a natural logarithmic expression

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 Video3:08
Brian McLogan

Properties of logarithms for condensing an expression

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 Video2:07
Brian McLogan

Learn how to use one to one property of logarithms to solve an 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 Video2:30
Brian McLogan

Condense a natural logarithmic expression

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 Video3:54
Brian McLogan

Using inverse operations to help us solve 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...
Instructional Video1:20
Brian McLogan

Using the equality of logarithms to solve an 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 Video2:22
Brian McLogan

Solving exponential equations by using the natural log

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 Video1:07
Brian McLogan

Solve Logarithmic Equations with Logs on Both Sides

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 Video2:46
Brian McLogan

Learning how to expand a logarithmic expression with a square root

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 Video1:28
Brian McLogan

How to find the inverse of a logarithmic function, f(x) = log2 (x)

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 Video0:47
Brian McLogan

How to expand a log expression using the rules of 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 Video4:11
Brian McLogan

What are natural logarithms and their properties

12th - Higher Ed
👉 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...
Instructional Video4:01
Brian McLogan

Break down of rule of logarithms compared to rules of exponents

12th - Higher Ed
👉 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...
Instructional Video5:13
Brian McLogan

Graph a Piecewise Function With Three Equations

12th - Higher Ed
👉 Learn how to graph piecewise functions. A piecewise function is a function that has more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Instructional Video0:44
Brian McLogan

How identify the limits of the parent graph of logarithm

12th - Higher Ed
👉 Learn how to evaluate the limit of a transcendental function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function...
Instructional Video3:44
Brian McLogan

Learn how to expand a logarithmic expression with a square root

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 Video1:35
Brian McLogan

Learn the steps to condense a logarithmic expression

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 Video2:23
Brian McLogan

Expand and condense using the power rule of logarithms

12th - Higher Ed
👉 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...
Instructional Video4:00
Brian McLogan

Applying the quotient property of logs to solve an 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 Video1:53
Brian McLogan

Solving logarithmic equations by using one to one property

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

Solving Exponential equations

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 Video3:00
Brian McLogan

Solving an exponential equation with multiple steps

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 Video3:35
Brian McLogan

Solving a logarithmic equation with no solutions

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 Video0:48
Brian McLogan

Learning the basics for condensing logarithmic expressions

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...