Check to make sure you don't have a log of a negative (which is not allowed!)
If ,
then
It checks!!
For additional explanation on the topic of Logarithms, see my own website. You can do a Bing search for my last name "Rapalje", and look for "Rapalje Homepage" at the top of the search list. For an explanation of a variety of topics of Logarithms, look for the link "Basic, Intermediate and College Algebra: One Step at a Time". Choose "College Algebra" and look in Chapter 4 for the section on Logarithms. See also the "MATH IN LIVING COLOR" solutions for many of these exercises--IN COLOR!!
I also have 2 two hour videos of me teaching the topic of logarithms that you can see free on the website. Return to my Homepage and look for the link near the top of the page that says "Rapalje Videos". Choose "College Algebra" and look for the topic of "Logarithms". Regretfully, the videos are about 15 years old, and the use of calculators is obsolete!!
R^2
Dr. Robert J. Rapalje
Seminole Community College
Altamonte Springs Campus
Florida
