Question 567783: solve for x: 8ln(1/2x)=72
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Let me start by saying, I don't know if the problem is
 or  I will solve it both ways!
Solving the SECOND statement above:
Divide both sides by 8:
Raise both sides as a power of e:
Multiply both sides by 2:
Solving the FIRST statement above:
8 ln(1/2x) = 72
Divide both sides by 8:
ln(1/2x) = 9
Raise both sides as a power of e:
Cross multiply to get this:
For a complete explanation of this and other topics in LOGARITHMS, please see my own website. The best way to find it is to use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. At the bottom of the page there is a single link that takes you to my Homepage. On my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "College Algebra", and look in "Chapter 4" for a complete explanation of logarithms. Here you will find my own non-traditional explanation that my own students used to find much easier to understand than most of the other textbooks being used. I also have lots of examples, exercises, and answers. In addition, most of the hardest problems are solved in color on the MATH IN LIVING COLOR pages that go with this topic. There is TWO VIDEOS of me teaching LOGARITHMS in class before I retired a few years ago. To find the videos, look on my Homepage for "Rapalje Videos in Living Color," choose "College Algebra" and select the "Logarithms" videos. It's ALL FREE on my website!!!
To contact me please use my Email address at rapaljer@seminolestate.edu.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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