CHARACTERISTIC OF LOGARITHMS

CHARACTERISTIC OF LOGARITHMS
If a to the power of m times a to the power of n, so this equals a to the power of m plus n in bracket.
If a to the power of m divided a to the power of n,so this equal is a to the power of m minus n in bracket.
If logarithms b with the main number a equals n. It is equivalent with b equals a to the power of n.
If logarithms a with the main number is g equals x,i t is equivalent with a equals g to the power of x.
If logarithms b with the main number is g equals y. It is equivalent with b equals g to the power of y.
If logarithms a times b in bracket equals with ..
For example :
1. what is similar with logarithms a times b in bracket with the main number is g?
- Logarithms a with the main number is g equals x, it is equivalent with a equals to the power of x.
- Logarithms a with main number is g equals y, it is equivalent with b equals g to the power of y.
a times b equals g the power x times g to the power of y, then a times b equals g to the power of m plus n in bracket. So logarithms a times b in brackets with the main number is g equals logarithms g to the power of m plus n in bracket with the main number is g. It is equivalent with x plus y in bracket with the main number is g. Logarithms g with the main number g is one so the equals is x plus y.
``the logarithms a times b in bracket with the main number is g equals logarithms a with the main number is g plus logarithms b with the main number is g``.