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Brian McLogan
Using multiple rules of exponents to simplify the expression
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
How to divide two functions and then determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Using one to one property when exponents do not have the same base, 25^(x+3) = 5
👉 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
Rewriting a logarithmic expression as one logarithm by condensing
👉 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
Rules of Exponents, Radicals, Logarithms | Preparing for Precalculus Part 4
Rules of Exponents, Radicals, Logarithms | Preparing for Precalculus Part 4
Brian McLogan
Determine the rule of the sum using sigma sum notation
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Math Fortress
Differential Equations: Solutions (Level 2 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify solutions to differential equations. In addition this video also covers how...
Brian McLogan
Using the power rule with a negative power to simplify an expression
👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual...
Brian McLogan
Simplifying a basic radical expression root
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Simplifying an expression by applying the power rule of exponents
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Explaining the rules of logarithms with examples
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
Given a quadratic function, find the inverse and determine if a function or not
👉 Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the...
Brian McLogan
Simplify The Cube Root of an Expression
How to simplify cube root expressions is very similar to how we simplify square root expressions but it does involve a different understanding of numbers and what the cube root stands for.
Brian McLogan
What are all of 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
Applying the power rule to simplify an expression with a rational power
👉 Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an...
Brian McLogan
Learning to apply the power to quotient rule with rational powers
👉 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
Master Solving Exponential equations without using a calculator
Master Solving Exponential equations without using a calculator
Brian McLogan
Learn how to take the derivative of exponential expression
👉 Learn how to find the derivative of exponential and logarithmic expressions. 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...
Brian McLogan
Using the property of exponents to multiply expressions
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
What are some of the basic rules for adding, subtracting radical expressions
👉 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
Learn how to add two radical expressions by simplifying first
👉 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
Calc Unit 4 What is the power rule of integration
Calc Unit 4 What is the power rule of integration
Brian McLogan
Algebra 2 - Applying the the power and product rule of logarithms to solve an equation
In this video series I will show you how to apply the properties of logarithms to solve an equation. The three main properties of logarithms we will focus on will be the product, quotient, and power rule of exponents. We will apply these...
Brian McLogan
Simplifying an exponent using the power to power rule and rational powers
👉 Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an...