Question 400969: please help me solve logb 27=3/2
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! By definition of logarithms,  means that 
The trick here is to "undo" raising to the 3/2 power. This can be done by raising both sides of the equation tok the 2/3 as follows. Remember that when you raise a power to a power, you multiply the exponents. Multiply (3/2)*(2/3)=1.
For additional explanation on LOGARITHMS, please see my own website. To find my website, click on my tutor name "rapaljer" anywhere in algebra.com. Click on the link there that will take you to the Homepage of my website, which is a subwebsite at Seminole State College of Florida. From my "Homepage", look for the link "Basic, Intermediate, and College Alegebra: One Step at a Time." Click on "College Algebra", and look in "Chapter 4" for an entire chapter of LOGARITHMS. Of course, for this problem, you need to see the one called "4.01 Definition of Logarithms." Here you will find my own complete non-traditional, user-friendly explanation of the topics that my own students found MUCH easier to understand than the traditional textbooks! Many of my exercises here are explained in great detail in the MATH IN LIVING COLOR pages that go with this curriculum. Best of all, it's all FREE!
Check also for my 2 TWO-hour VIDEOS on LOGARITHMS that were made a few years before I retired of me actually teaching this topic. To see the videos, from my Homepage, look for "Rapalje Videos in Living Color." Then click on "College Algebra" and look for the logarithms topics. If you have RealPlayer installed on your computer, then this is a FREE download. If you do not have RealPlayer, then you will have to download RealPlayer, but this too is a FREE download.
I have explanations on nearly every topic in algebra and many from geometry as well, and many videos from my younger days as well. Everything is FREE, and I don't even have advertising on the pages!! If you don't need help with math, then visit my website to see the JOKE PAGE--all clean jokes, safe for the little ears in your family!!!
Dr, Robert J. Rapalje, Retired
Seminole State College of Florida
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