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 Video6:41
Brian McLogan

Solving an logarithmic 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 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 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 Video2:06
Brian McLogan

Learn the basics for condensing a logarithmic expression with addition and subtraction

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 Video3:53
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 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 Video1:52
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 Video2:40
Brian McLogan

Condensing logarithms with multiple parentheses

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 Video4:57
Brian McLogan

Graph and Determine Domain and Range of a Piecewise Function

12th - Higher Ed
👉 Learn how to graph piecewise functions. A piecewise function is a function which have 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 Video13:42
Brian McLogan

Quotient Rule of Exponents

12th - Higher Ed
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the...
Instructional Video12:29
Brian McLogan

Operations with grouping symbols - Math homework answers

12th - Higher Ed
👉 Learn how to add and subtract polynomials by combining like terms. Identifying like terms allows us to combine terms. Like terms are when terms share the same base and power for each variable. When you have like terms you simply apply...
Instructional Video4:02
Brian McLogan

How to Use the Distributive Property with a Trinomial

12th - Higher Ed
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Instructional Video2:40
Brian McLogan

Learning how to simplify a rational expression

12th - Higher Ed
👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Instructional Video1:50
Brian McLogan

Classifying a polynomial by degree and number of terms

12th - Higher Ed
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Instructional Video1:44
Brian McLogan

Classify a polynomial and determine degree and leading coefficient

12th - Higher Ed
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
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 Video0:47
Brian McLogan

Learn the basics to expanding a logarithmic expression

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 Video1:18
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 Video11:14
Brian McLogan

Simplifying Expressions by Using the Product Rule of Exponents

12th - Higher Ed
👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...
Instructional Video1:13
Brian McLogan

Learn to classify and determine the leading coefficient and degree of a polynomial

12th - Higher Ed
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Instructional Video2:27
Brian McLogan

Find the degree and leading coefficient of a trinomial

12th - Higher Ed
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...
Instructional Video4:35
Brian McLogan

What is a quadratic equation and its part

12th - Higher Ed
👉 Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Instructional Video4:21
Brian McLogan

Using the change of base to help 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...