After working with high school and college students in algebra 1 & 2, i came across quite a few students who found logarithms hard to work with . Most of the students failed to retain some important log based rules which were essential to be effective at problem solving.
Here's a list of a few rules :
logab = x could be written as ax = b. Let me work a couple of examples to show how this rule works
- log39 = 2
By using the rule that i talked about above can be written as 3^2 = 9 where a=3, x=2 and b = 9.
loga10 - loga5 can be rewritten in the form loga(10/5) which is the same as loga2. As long as the bases are equal to one another we can divide when there is a subtraction taking place using log.
When it comes to addition we need to add logarithms that have the same base.
Also another important thing to keep in mind is logaa = 1 and ln e = 1.
Suggestions and feedback on my blog are welcome please feel free to let me know if i had erred in anyway. Hope the content presented was useful.