Logarithms Expanding and Condensing

Unlock the power of logarithms with Mario's Math Tutoring! In this comprehensive tutorial, you'll learn all about the essential properties of logarithms for expanding and condensing logarithmic expressions. Whether you're in algebra, pre-calculus, or calculus, mastering these log rules is crucial for simplifying complex equations.

We'll cover the product property (multiplication becomes addition), the quotient property (division becomes subtraction), and the power property (exponents come to the front). Not only will you learn how to expand a single logarithm into multiple terms, but you'll also discover how to condense multiple logarithms into a single, simplified expression. Follow along with clear, step-by-step examples, including common pitfalls to avoid, to solidify your understanding of these fundamental logarithmic properties!

Timestamps:

0:00 Introduction to Logarithm Properties
0:10 Product Property of Logs (Multiplying becomes Adding)
0:35 Quotient Property of Logs (Dividing becomes Subtracting)
0:55 Power Property of Logs (Exponents come to the front)
1:20 Expanding vs. Condensing Logarithms
1:50 Example 1: Expanding log(3x²)
3:00 Example 2: Condensing ln(3) + ln(x) + ln(y)
3:35 Example 3: Condensing log(5) - log(x)
4:25 Example 4: Expanding log₃((7x)/y²)
6:00 Example 5: Condensing log₃(x^(1/4)) - log₃(y) - log₃(z)
8:50 Example 6: Expanding log( (5y³z)⁴ )

Related Videos:

Expanding & Condensing Logs
   • Expanding and Condensing Logs  

Logs Everything You Need to Know
   • Logs Everything You Need to Know  

Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
https://www.mariosmathtutoring.com/fr...

https://www.teacherspayteachers.com/P...

➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)
   / @mariosmathtutoring