Instructional Video2:10
Brian McLogan

Overview of logs using 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 Video2:39
Brian McLogan

Evaluate the integral with e as the lower bound

12th - Higher Ed
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Instructional Video4:44
Brian McLogan

How to find the integral using long division and natural logarithms

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Instructional Video6:32
Brian McLogan

Evaluate the integral using natural logarithms

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Instructional Video4:17
Brian McLogan

Find the antiderivative using long division and natural logarithms

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Instructional Video4:43
Brian McLogan

How to expand a logarithm to multiple logs using properties of logarithms

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 Video1:36
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 Video15:15
Brian McLogan

Computing exponential growth word problem

12th - Higher Ed
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...
Instructional Video3:52
Brian McLogan

Expanding a logarithm using the fourth 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 Video1:00
Brian McLogan

Solving logarithmic equations

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 Video10:26
Curated Video

Introduction to Natural Logarithms and Laws of Logs

Higher Ed
This video is a presentation on natural logarithms and their relationship with exponential functions. The instructor explains that the natural logarithm is the inverse of the natural exponential function E to the power of X. The video...
Instructional Video1:01
Brian McLogan

Expanding a logarithmic expression using the properties of logs division

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 Video4:51
Brian McLogan

Graphing a logarithmic function with two reflections

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 Video1:35
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 Video0:59
Brian McLogan

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...
Instructional Video2:26
Brian McLogan

Evaluate the definite integral using u sub with natural log

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Instructional Video2:01
Brian McLogan

Find the antiderivative using u substitition with a natural logarithm

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Instructional Video1:01
Brian McLogan

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...
Instructional Video1:16
Brian McLogan

How to u substitution to natural logarithms

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Instructional Video0:40
Brian McLogan

Learn how to find the integral of a natural logarithm

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Instructional Video2:44
Brian McLogan

Evaluate the integral with ln and u sub

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
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 Video0:49
Brian McLogan

U-substitution with natural logarithms

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...