Instructional Video13:13
Brian McLogan

Power Rule of Exponents - Cool math

12th - Higher Ed
👉 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...
Instructional Video1:54
Brian McLogan

Learning the basics for condensing 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 Video3:15
Brian McLogan

Isolating a logarithm and using the power rule to solve

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 Video1:25
Brian McLogan

Find the value of the integral with e

12th - Higher Ed
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Instructional Video2:37
Brian McLogan

Simplifying a radical expression with use of absolute value symbols

12th - Higher Ed
👉 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...
Instructional Video10:49
Brian McLogan

Master Expanding Logarithmic Expressions using the rules of logarithms

12th - Higher Ed
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...
Instructional Video0:57
Brian McLogan

The easy way to 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 Video5:55
Brian McLogan

Operations with functions and finding the domain of each

12th - Higher Ed
👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...
Instructional Video1:06
Brian McLogan

Find the derivative of exponential with the base as a fraction

12th - Higher Ed
👉 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...
Instructional Video1:13
Brian McLogan

Math tutorial for expanding a logarithmic expression

12th - Higher Ed
👉 Learn how to expand logarithms using the product/power 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 the...
Instructional Video1:01
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 Video1:17
Brian McLogan

Applying the power rule of logarithms to solve the equation, 3log7 (4) = 2log7 (b)

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 Video6:29
Brian McLogan

Find the product of the cube root of two variable expressions

12th - Higher Ed
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Instructional Video2:12
Brian McLogan

Learn how to simplify an expression with rational exponents using power to quotient rule

12th - Higher Ed
👉 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...
Instructional Video2:35
Brian McLogan

Multiplying two exponents with rational powers, then simplifying

12th - Higher Ed
👉 Learn how to multiply with rational powers. To multiply two or more numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and...
Instructional Video8:00
Brian McLogan

Adding and subtracting the cube root of three radical expressions

12th - Higher Ed
👉 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...
Instructional Video1:43
Brian McLogan

Learn how use the quotient rule to take the derivative including cosine

12th - Higher Ed
👉 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...
Instructional Video3:57
Brian McLogan

Learning to multiply two radicals together and then simplify

12th - Higher Ed
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Instructional Video2:50
Brian McLogan

Learn how to simplify a radical expression using the power rule

12th - Higher Ed
👉 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...
Instructional Video0:49
Brian McLogan

How to use the power property of exponents

12th - Higher Ed
👉 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...
Instructional Video0:51
Brian McLogan

Applying the power rule of exponents to simplify an expression

12th - Higher Ed
👉 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...
Instructional Video1:43
Brian McLogan

Using multiple properties of logarithms to expand an expression

12th - Higher Ed
👉 Learn how to expand logarithms using the product/power 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 the...
Instructional Video2:31
Brian McLogan

How to use the same base to solve an equation with exponents

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

Multiplying two radical expressions together then simplifying your answer

12th - Higher Ed
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...