Brian McLogan
Master Expanding Logarithmic Expressions using the rules of logarithms
Welcome ladies and gentlemen. So what I'd like to do is show you how to expand logarithmic expressions. Now expanding logarithmic expressions, what we're going to do is follow the rules of logarithms. And the rules of logarithms we have...
Brian McLogan
Dividing two rational expressions by factoring
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Given a Polynomial Function Find All of the Zeros
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
Learn how to subtract two fractions with unlike denominators
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Fraction misconception adding the numerator and the denominator
👉 Learn how to add or subtract fractions with common denominators. When adding or subtracting two or more fractions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then...
Brian McLogan
Learn how to condense the difference of two logarithmic expressions
👉 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...
Brian McLogan
How to add two fractions with unlike denominators & rationalize the denominators
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Dividing polynomials by synthetic division and rewriting using the division algorithm
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Catalyst University
Series | The Ratio Test: Theory and 1 Example
Series | The Ratio Test: Theory and 1 Example
Brian McLogan
Finding the common denominator so you can add two fractions
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Learn how to subtract a smaller decimal from a larger decimal
👉 You will learn how to add and subtract numbers in decimal form. When adding and subtracting decimals it is very important to align the decimal points and use zero as space holders. Then you will apply the operations just like we do in...
Catalyst University
Dixon-Q Test [Example #2]
In this video, we do a sample problem for the Dixon-Q test.
Brian McLogan
Translating sentences using more than one operation ex2
👉 Learn how to write an algebraic expression from verbal sentence as well as writing out a sentence from a algebraic expression. To do this we need to know what words we use to express operations such as addition, multiplication,...
Brian McLogan
Understand how synthetic division helps us understand polynomials
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Brian McLogan
Dividing complex numbers by multiplying by the conjugate
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Brian McLogan
Learn how to simplify an expression with rational exponents using power to quotient rule
👉 Learn how to simplify rational powers using the power and the quotient rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the quotient law which states...
Brian McLogan
Dividing rational expressions
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
How to divide polynomials using synthetic division
👉 Learn about dividing by synthetic division when there is a missing power. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
How to rewrite a negative integer to a fraction
👉 Learn how to understand the concept of fractions using parts of a whole. Fractions are parts of a whole and this concept can be illustrated using bars and circles. This concept can also be extended to understand equivalent fractions....
Catalyst University
Kinetics Parameters for Catalase Part 1: Vmax and Km
Kinetics Parameters for Catalase Part 1: Vmax and Km
Brian McLogan
Condensing a logarithmic expression with parenthesis
👉 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...
Brian McLogan
How and when to apply synthetic division of two polynomials
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Brian McLogan
Verifying a trigonometric Identities
👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify...
Brian McLogan
Learn how use the quotient rule to take the derivative including cosine
👉 Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...