SOLUTION: Simplify. logaa^5 a)1 b)a^5 c)5 d)5logaa not sure how to write the letter or number next to log lower than the number or letter next to that.

Question 313888: Simplify.
logaa^5
a)1
b)a^5
c)5
d)5logaa
not sure how to write the letter or number next to log lower than the number or letter next to that.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
This is the inverse property of logarithms and exponentials.

, since the log base a "undoes" the a raised to the power. Since the base numbers here are the same, the answer is just the exponent! TOO EASY, right???

For additional help with Logarithms, please see my own website. Click on my tutor name "rapaljer" anywhere in algebra.com. There you will see the link to my Homepage. Near the top of my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "College Algebra", and look for "Chapter 4" which is "Logarithms." See Section 4.03, especially page 516-517 for more explanataion on this particular type of problem. In this chapter, you will find my own non-traditional explanation of Logarithms, complete with examples, exercises, and ALL the answers. Many of these exercises are also solved IN COLOR on my "Math in Living Color" pages that go along with these sections.

In addition, please see my FREE videos, which were made in my own classes before I retired a few years ago. To see the videos, look on my Homepage for the link "Rapalje Videos in Living Color." Click on "College Algebra" and look for Logarithms Part I and Part II. Probably Part II is appropriate for this question.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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