Logarithms

Example Law of Logarithms

How to Write Logarithm?

Example & Questions

Write the following  indices into logarithm form ?

Example 1

Solutions :

With these problems you have to convert it first

1st Step : Move the power become answer
2nd Step : Answer will become power
3rd Step : The base will become "Log (any value)"

Write the following logarithm into indices form ?

Example 2

Solutions :

With these problems you have to convert it become indices, same thing like example 1.

1st Step : Move the answer become Power
2nd Step : Power will become answer
3rd Step : The base will become normal value with power.


Solve the equation

Example 3

Solutions :

If you see something like this equation, first you have to convert it to indices form so that it easy to evaluate. Once you convert, find the like terms and eliminate like 4 & 81. Then once you get the answer, you can calculate it as usual.




Express as a single logarithm ?

Example 4

Solutions :

Since all the value are almost the same, so all you need to do is just change the operation like plus become multiply whereas minus become divide. After everything change, then calculate is as usual.