Properties of Logarithms

http://gdawgenterprises.com

This video explains three properties of logarithms and the Change of Base formula. The product property is that the sum of two logarithms of the same base is equal to the log of the product of those two numbers. The quotient property of logarithms is that the difference of two logarithms of the same base is equal to the logarithm of the quotient of those two numbers. If you have the logarithm of a number that has an exponent, that exponent can be taken out and multiplied times the logarithm to make it an equivalent expression. The Change of Base formula is useful in determining values of logarithms with a base different than 10 or e (the keys available on many calculators including the TI83 and TI84 series calculators).

Category:

Education

Tags:

• Product
• property
• of
• logarithms
• quotient
• power
• change
• base
• formula
• ti83+
• ti83Plus
• ti84+
• ti84plus
• gdawg
• gdawgrapper

[josevivo]

oh and im too lazy to do a vid..i got school and sum other important shit on my shoulders ... you can understand probably x)

[gdawgrapper]

The ninth grader teaching the teacher. I love it. I hope you'll be here to take my job when when I retire. I'll do the response myself, using your good direction. Thanks so much for your help.

[josevivo]

teach how to SIMPLIFY logarithms..not calculating them directly loke log base 3 of 64 couldve been simplified to 6log base 3 of 2 and that would be a rational answer..not 3.7855 bla bla bla

[gdawgrapper]

You are 100% correct. If you could, I would like you to submit a video response to mine, because if not, I'll have to do it myself, probably in December.

The only reason I used a calculator in the video was to prove numeric equivalency after using one of the rules of logarithmic operations.

After your comment, I saw not only the case you mentioned as one that could be further simplified, but at least one other as well.

Thanks for viewing and for your constructive comments.

[josevivo]

well thats a nice mature response hehe im just a 9th grade student studying for a partial math examn..logarithms..trigonometr­ic equations...aplication of simoultaneous equations...and like functions for dummies or functions 101 lol.