Brian McLogan
Solving Exponential equations
👉 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
Basic properties of logarithms
👉 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
Learn to find the number of years it takes to reach an amount with 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...
Professor Dave Explains
Derivatives of Logarithmic and Exponential Functions
How to take the derivatives of logarithmic and exponential functions.
Packt
Logarithm
This video focuses on logarithm in data structures. This clip is from the chapter "Essential Concepts - I" of the series "Data Structures and Algorithms: The Complete Masterclass".This is the first part of the two-part section that...
Brian McLogan
What are the properties of logarithms
👉 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
Solve an equation to factor by converting to exponential
👉 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...
Brian McLogan
Condensing and expanding using the quotient property 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...
Khan Academy
Proof: A(logB) = log (B^A), log A - log B = log (A/B)
Here are the proofs for two logarithm properties. First, the Power Property of Logarithms is proved using the definition of a logarithm and the rules of exponents, and then the Quotient Property is proved in a similar fashion.
Khan Academy
Change of Base Formula Proof, Logarithms, Algebra II
This video proves the helpful change of base formula for logarithms. The proof steps may need to be more intuitive to most logarithm learners, but the algebraic manipulation shown using logs is interesting.
Curated OER
STEMbite: The Calculus of Building Blocks
Watch this video with your junior engineers or your higher-level mathematicians. In it, Drew builds half of an arch bridge with building blocks. There happens to be a magnetic board behind the blocks, on which he affixes a magnet for...
Khan Academy
Khan Academy: Algebra: Introduction to Logarithms
Explains what a logarithm is and the relationship between logarithms and exponents. Practice problems available. [9:48]
Sophia Learning
Sophia: Expanding Logarithmic Expressions: Lesson 2
This lesson will show you how to use the rules of expanding to spread out a logarithm. It is 2 of 10 in the series titled "Expanding Logarithmic Expressions."
Sophia Learning
Sophia: Expanding Logarithmic Expressions: Lesson 3
This lesson will show you how to use the rules of expanding to spread out a logarithm. It is 3 of 10 in the series titled "Expanding Logarithmic Expressions."
Sophia Learning
Sophia: Expanding Logarithmic Expressions: Lesson 7
This lesson will show you how to use the rules of expanding to spread out a logarithm. It is 7 of 10 in the series titled "Expanding Logarithmic Expressions."
Sophia Learning
Sophia: Expanding Logarithmic Expressions: Lesson 9
This lesson will show you how to use the rules of expanding to spread out a logarithm. It is 9 of 10 in the series titled "Expanding Logarithmic Expressions."
Sophia Learning
Sophia: Exponential Equations: Lesson 5
In this lesson, the concept discussed is what makes an equation exponential and how the equation is normally solved. It is 5 of 5 in the series titled "Exponential Equations."
Sophia Learning
Sophia: Exponential to Logarithmic Format: Lesson 10
This lesson will show you how to use the proper formula and rewrite an equation as a logarithm and then again as an expression with an exponent. It is 10 of 10 in the series titled "Exponential to Logarithmic Format."
Sophia Learning
Sophia: Exponential to Logarithmic Format: Lesson 3
This lesson will show you how to use the proper formula and rewrite an equation as a logarithm and then again as an expression with an exponent. It is 3 of 10 in the series titled "Exponential to Logarithmic Format."
Sophia Learning
Sophia: Exponential to Logarithmic Format: Lesson 9
This lesson will show you how to use the proper formula and rewrite an equation as a logarithm and then again as an expression with an exponent. It is 9 of 10 in the series titled "Exponential to Logarithmic Format."
Sophia Learning
Sophia: Simplifying Logarithmic Expressions: Lesson 3
This lesson will show you how to use the rules of simplifying to combine logs with common bases. It is 3 of 11 in the series titled "Simplifying Logarithmic Expressions."
Sophia Learning
Sophia: Simplifying Logarithmic Expressions: Lesson 7
This lesson will show you how to use the rules of simplifying to combine logs with common bases. It is 7 of 11 in the series titled "Simplifying Logarithmic Expressions."
Sophia Learning
Sophia: Zero Property of Logarithms: Lesson 5
In this lesson, you'll be introduced to the concept of rewriting a logarithm as an exponential equation and the ability to apply the zero property to that equation. It is 5 of 6 in the series titled "Zero Property of Logarithms."