Lg 5 = 0.699 lg 6 = 0.778
In lg 2 = lg 5/10 = lg 10- lg 5 = 1 - 0.699 = 0,301
Why is lg 10 = 1?
Log10 = 1 because it is the power that you need to raise 10 ( the base ) to in order to get 10. (The problem is set in base 10 logs.)A logarithm is just an index.
For example Log 100 = 2 because it's the power you need to raise 10 to in order to get 100.
In base 2, log 8 would be 3 because it's the power you need to raise 2 to in order to get 8.
In base 5,log 25 would be 2 because it's the power you need to raise 5 to in order to get 25.
In base 3,log 9 would be 2 because it's the power you need to raise 3 to in order to get 9
and so on.
The idea of using logs is that we change big numbers into powers of some base,like 10, so that instead of multiplying huge numbers,we just add (or subtract) their powers instead.
Understand the idea of a base,and get a bit of practice with indices and you'll begin to understand it .
