❖ Properties of Logarithms ❖

Properties of Logarithms: A Complete Guide with Examples!
In this video, I'll cover all the fundamental properties of logarithms and walk through a few examples to help solidify your understanding. We'll evaluate logarithmic expressions using exponential notation, learn how to combine and expand logarithms, and utilize the cancellation properties to solve basic logarithmic equations. Whether you need a quick refresher or a rapid introduction to logarithms, this video is the perfect resource for understanding their essential properties and applications.
What You Will Learn:
Fundamental properties of logarithms and how they relate to exponents.
How to combine and expand logarithmic expressions using properties.
How exponents can become coefficients.
Techniques for evaluating logarithmic expressions numerically.
How to apply cancellation properties to solve basic logarithmic equations.
Practical examples to strengthen your logarithmic skills.
📚 Check out my book: 1001 Calculus Problems for Dummies for more practice!
👍 **If you find this video helpful, please like, share, and subscribe for more math tutorials!
Support My Work:
If you'd like to support the creation of more math content, consider becoming a patron on Patreon: / patrickjmt
#Logarithms #MathTutorial #PatrickJMT #LogProperties #LogarithmicEquations #Algebra #ExponentialNotation #MathHelp #Mathematics #Precalculus #AlgebraBasics #LogExpansion #CombiningLogs

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facts

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paid through all the nice comments :)

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+RaunnHD hopefully between the two of us, it will be ok!

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You have saved my ass. I've been in so many math classes, including AP Calculus in high school and we just never did anything with a log. Now in college I'm sitting in Calc trying to figure out how to do derivatives but I figure I need to know the basics about a log in the first place. I have an exam on this stuff in 13 hours. Thank God for you.

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i learned more in 20 mins from you then i did all semester.. thanks!

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I absolutely love it sir! Im taking an early SAT and started out not even knowing how to pronounce logarithm! This video really helped! One thing that can't really be changed is the it was kind of hard to see the paper when you were writing since you are left handed(so am I) but I like how you paused so in that time people could have a chance to "digest" what they learned and/or take notes. Do you have any extra places I can find practice logarithm SAT based questions with explanations?

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Who knew that logs could be so incredibly easy. Ahh . . . I can finally breath now :) Thanks to your wonderful and well explained videos I was able to ace my exam this morning. Thank you, thank you, thank you!!!!!!!

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This is good stuff, I am reviewing logs for my calc class. It is hard to manipulate some of the larger calc problems if you can't remember the rules and basics of Log's, so thanks for the help. your videos have been the most clear of any I have found in general. The often exceed my class time in terms of time spent to learning gained.

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[@patrickjmt]

happy to help

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You changed my life. I hated logs, and now, I think I'm in love with it. THANK YOU! Why couldn't you be my math 12 teacher?

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@yondy12 i think most people find them tricky at first, so hang in there!

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daydream in class for 3 hours... watch your 10-20 min videos and BAM! knowledge obtained

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[@MonCoin]

@manish, remember that ln=log_e... so what you see on the left is e^log_e(log_e x)... you use the cancellation law as he showed earlier so you get log_e x, that is ln x. The right side remains e^1 since no cancellation is possible there. Then he made lnx to x on the left and the right becomes e^e^1. Remember that e^1 = e, so it is written e^e.

[@patrickjmt]

no problem!

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THANKS ! The cancellation laws really helped.

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good luck on it!

[@patrickjmt]

my pleasure!!!

[@patrickjmt]

glad to help!

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thanks!

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