Hey guys,

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 :

**log**

_{a}b = x could be written as a^{x }= b. Let me work a couple of examples to show how this rule works**log**_{3}9 = 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.**

**log**

_{a}10 - log_{a}5 can be rewritten in the form log_{a}(10/5) which is the same as log_{a}2. 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 log**

_{a}a = 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.

Mayuran

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