Brian McLogan
Algebra 2 - using the quotient rule of logarithms and properties of exponents 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
Using the one to one property to solve a basic exponential equation
👉 Learn how to solve exponential equations with the same base. 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 equal...
Brian McLogan
How to determine the value using compound interest
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...
Brian McLogan
U-substitution with natural logarithms
👉 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 an indefinite integral or as a definite...
Brian McLogan
Math tutorial for graphing an exponential function with transformations
👉 Learn how to graph exponential functions involving horizontal shift. 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...
Brian McLogan
Graphing logarithmic equations
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
Using the same base of exponents to solve using the equality property
👉 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...
Brian McLogan
Learn how to expand a logarithmic expression using the product rule
👉 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...
Brian McLogan
Expanding logarithmic expressions across division
👉 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
Converting an equation to the same base to solve
👉 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
Calculating the compound interest of an investment
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...
Brian McLogan
Algebra 2 - Using properties of exponents to help you solve a logarithmic equation, log(x) +log(8)=2
In this video playlist you will explore how to solve logarithmic equations. To solve logarithmic equations it is important to first simplify your equation so that you either have an isolated logarithmic equation on one side or a...
Brian McLogan
Tutorial - Solving logarithmic equations ex 10, log(2x)+log(x-5)=2
In this video playlist you will explore how to solve logarithmic equations. To solve logarithmic equations it is important to first simplify your equation so that you either have an isolated logarithmic equation on one side or a...
Brian McLogan
Calculus - Take the derivative of a natural logarithm using properties of logs, d((x^2)lnx)/dx
In this video series you will learn how to take the derivative of a function. We will first look at the definition of a derivative by identifying the slope of a line to a curve and using the limit definiton of a derivative to evaluate....
Brian McLogan
Rules of Exponents, Radicals, Logarithms | Preparing for Precalculus Part 4
Rules of Exponents, Radicals, Logarithms | Preparing for Precalculus Part 4
Brian McLogan
Solving an equation by converting to the same base and using equality
👉 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...
Brian McLogan
Use inverse operation to solve exponential equation without one to one property
👉 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
Expanding logarithmic expressions
👉 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
Expanding logarithmic expressions
👉 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...
Brian McLogan
Solve an exponential equation using the properties of logs
👉 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
Evaluating a Log with an Exponent Without a Calculator
👉 Learn how to evaluate basic logarithms. Recall that the logarithm of a number says 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). Thus,...
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
Graphing logarithmic equations
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
Finding the final value of compound interest
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...