Instructional Video8:45
Brian McLogan

Graphing exponential function

12th - Higher Ed
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Instructional Video4:50
Brian McLogan

Condensing and expanding using the product rule 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 Video1:35
Brian McLogan

Using inverse properties to solve a logarithmic equation

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...
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 Video3:08
Brian McLogan

Graphing exponential growth equations

12th - Higher Ed
👉 Learn how to graph exponential functions. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values 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 Video1:37
Brian McLogan

Applying the product property and then converting to exponential form to solve

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 Video3:14
Brian McLogan

Learn how to model a word problem with exponential growth function

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 Video4:01
Brian McLogan

How do we know when we have a reflection for an exponential function

12th - Higher Ed
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Instructional Video3:30
Brian McLogan

Graphing exponential growth equations

12th - Higher Ed
👉 Learn how to graph exponential functions. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table of values of the...
Instructional Video1:49
Brian McLogan

Solving Exponential equations

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 Video1:14
Brian McLogan

Solving an exponential equation

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 Video3:26
Brian McLogan

Solving an equation by converting a rational base to a negative exponent

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 Video2:47
Brian McLogan

Solving a logarithmic equation by using properties of logs

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 Video1:14
Brian McLogan

Exapanding a logarithmic expression using the rules 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 Video1:27
Brian McLogan

Determining the inverse of exponential and logarithmic functions ex 1, y = log8 (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 Video2:06
Brian McLogan

Applying product rule of logarithms to solve the equation, log6 (2c)+log6 (8)=log6 (80)

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 Video1:00
Virtually Passed

(1+k/x)^x

Higher Ed
Can you solve the limit of (1+k/x)^x as x approaches infinity?
Instructional Video4:16
Brian McLogan

Rewriting two exponents to the same base so you can use the one to one property to solve

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 Video0:56
Brian McLogan

Solve an exponential equation by taking the log of both sides

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 Video1:36
Brian McLogan

Learn how to solve a natural logarithmic equation by converting to exponential form

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 Video1:18
Brian McLogan

Learn how to isolate and take the log of both sides to solve the 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 Video2:22
Brian McLogan

How to solve a logarithmic equation using the quotient 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...