3. Glog,(x) – log,(9) = log,(81) a. Solution: b. What property(ies) did you use to solve this problem? c. Explain each step you took to solve this problem. Pretend like you are talking me through how to do it and be specific!
3. Glog,(x) – log,(9) = log,(81) a. Solution: b. What property(ies) did you use to solve this problem? c. Explain each step you took to solve this problem. Pretend like you are talking me through how to do it and be specific!
Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I left an example on how I want you to answer this problem. The other image is the other problem that I need you to do just like the example. Take your time thank you!
Transcribed Image Text:3. 6log, (x) – log,(9) = log,(81)
a. Solution:
b. What property(ies) did you use to solve this problem?
c. Explain each step you took to solve this problem. Pretend like you are talking me
through how to do it and be specific!
Transcribed Image Text:Example: log,(x) + log,(x + 4) = log,(5)
a. Solution:
x=1
b. What property(ies) did you use to solve this problem?
Product Property and Equality Property
c. Explain each step you took to solve the problem. Pretend like you are talking me
through how to do it and be specific!
First I noticed that all the logs had the same base and that there was a plus sign, so I
knew I could use the product property. I condensed the problem into
log,(r* + 4x) = log,(5). Then I used the equality property to set x² + 4x = 5. I noticed
this was a quadratic, so I subtracted 5 from both sides to get it into standard form. Then I
factored using trial and error, set each factor equal to 0, and solved for x. My answers
were x= -5 and x=1, but I know that you can't have a negative argument for a log, so the
only real answer is x=1.
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