First I'll introduce the roots. In this post root includes roots and potency.
A potency is an operation where you obtain a number that results of multiplying the base by himself a number of times equal to the index value.
In this example 5 is the base and 3 is the index:
The root is the oposite operation of the potency. We can express a root like:
This type of calculus has its own properties:
I'll use "*" instead of "x" or "." to avoid misunderstandings. N and M are coefficients that can be fractions or integer numbers. Now I'm going to make an example:
Now the logarithm properties. First of all there is no solution in logarithms for negative numbers, That is it, so you don't need to calculate:
The logarithm is the inverse operation of the potency and you can calculate its solution by solving the next equation:
The solution of the logarithm is "b", that is the number to which we have to raise "a" in order to obtain "x".
And logarithms have a few properties:
An example:
A potency is an operation where you obtain a number that results of multiplying the base by himself a number of times equal to the index value.
In this example 5 is the base and 3 is the index:
And logarithms have a few properties:
I see you in the next post