Brian McLogan
Evaluating the geometric sequence for a given value given two terms other
👉 Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
Solving an exponential equation by using change of base for logarithms
👉 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...
Brian McLogan
What are even and odd functions
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Curated Video
Introduction to Exponents
In this video, students learn how to use exponents to write numerical expressions. The teacher explains that exponents are used to indicate the number of times a base number is repeated as a factor in multiplication. The video emphasizes...
Brian McLogan
Using inverse operations to help us solve exponential equations
👉 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...
Brian McLogan
Solving exponential equations by using the natural log
👉 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...
Brian McLogan
How to expand a log expression using the rules of logarithms
👉 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...
Brian McLogan
Classify a polynomial and determine degree and leading coefficient
👉 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...
Brian McLogan
Raising a scientific number to the third power
👉 Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first...
Brian McLogan
Condensing and expanding using the product rule of exponents
👉 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...
Brian McLogan
What are the properties of exponents
👉 Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Brian McLogan
What are all the rule of exponents that will help us when simplifying expressions with rad
👉 Learn the basics of simplifying radicals. A radical is an expression having the root/radical symbol. A radical expression can also be rewritten as an expression with fractional/rational exponent. The number outside the radical symbol...
Brian McLogan
Dividing Rational Expressions
👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
What is the leading coefficient of a polynomial & degree
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Curated Video
Understanding the Zero Exponent Rule
Through exploring patterns and using rules of exponents, this video demonstrates that any base raised to the power of zero equals 1. The video also addresses common misconceptions and provides multiple examples to reinforce the...
Curated Video
Multiplying Exponential Expressions
In this video, students will learn how to multiply exponential expressions by exploring patterns and applying the properties of exponents. The teacher explains the concept of exponents and the associative property of multiplication.
Brian McLogan
Learn how to expand a logarithmic expression with a square root
👉 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...
Brian McLogan
Expand and condense using the power rule of logarithms
👉 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...
Brian McLogan
Learning the basics of the rules of exponents product quotient negative
👉 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...
Brian McLogan
What properties are important to know for simplifying radical expressions
👉 Learn the basics of simplifying radicals. A radical is an expression having the root/radical symbol. A radical expression can also be rewritten as an expression with fractional/rational exponent. The number outside the radical symbol...
Brian McLogan
How to change the subtraction of two polynomials to addition
👉 Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
Leading coefficient and degree of a polynomial
👉 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...
Brian McLogan
How to tell the difference between the leading coefficient and the degree of a polynomial
👉 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...
Brian McLogan
Using order of operations to simplify an expression
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...