Properties of Logarithms (Precalculus - College Algebra 58)

A brief review of the properties of logarithms and how to simplify some basic logarithmic expressions.

[RollingThunder]

Sometimes my eyes are full of tears of happiness by studying from you. You always try to understand how the child feels and understands... Love you Sir .Love from INDIA....❤

[adelittastanton]

this man deserves either a Field's Medal or a Nobel Peace Prize

[pewpew]

These videos are really helping my first year studying maths!

[lefta]

OMG, it's been so long since I've watched one of your videos. I hope that you are doing well :)

[nomad-]

The superman of college mathematics. Thank you.

[georgesadler]

Professor Leonard, this video/lecture explains the Properties of Logarithms clear and to the point, however after property four the equal signs are missing from the examples. I hope students watching this video/lecture notice this error.

[sphanie]

hi sir, is it possible for you to answer some of my questions? it would be great if there was a way for me to connect

[RMaster]

After logarithms, what other subjects are there to cover for Precalculus? And what course will you cover after this? Have you thought about tackling complex numbers and calculus on the complex numbers, or linear algebra, any time soon? I think those are the only ""basic"" college math courses left for you to cover

[rstor]

@11:10 - Regarding the power property: Is it correct that there is a limitation to the power property usage. For example if one had log(x^2) [where x could be a negative value as when squared it becomes positive] and then we applied the power property as 2log(x) it could result in only partial solutions if we had an equation and was solving for x. When graphed, log(x^2) does not equal 2log(x). Is my understanding correct?

Here is an example case (though it is better to use the exponent laws to solve) it is used to illustrate my understanding of the limitations of the power property:

[Pickler]

How can I convince you to teach linear algebra in spring 2021... and history of mathematics. Asking for a friend. 😅

[Peter_]

I am kinda curious when Trigonometry will start.

[guidofeliz]

After logs comes Trigonometry, Conics, Matrix Algebra, Mathematical Induction, limits, and a few more review topics follow in the precalculus course. We still have a long way to go before Calculus 1.

[المُجَاهَدَة_الشَّهَادَةِ]

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2024-9-26

[robichag]

Will you marry me? you can whisper sweet equations in my ears as I fall asleep in your arms?