Logarithmic Rules

Introduction to Logarithmic Rules
In this section let me help you on logarithm rules. The logarithm of a number base is the power or exponent to which the base must be raised in order to produce that number. For example, the logarithm of 100 to base 10 is 2, because 2 is the power to which ten must be raised to produce 100: 102 = 100, so log10100 = 2.

Proof of Logarithmic Rules
We know that the properties of exponential functions. Here we are going to prove the properties of logarithmic rules.

1. Which power we raise ‘B‘ to get 1?
We raise B to the zero power B0 =1. Thus
logb (1)=0. This could also help us on height conversion
2. Which power we raise ‘B‘ to get B?
We raise B to the first power B1 = B. Thus
logb (b) = 1.
3. Which power we raise ‘B‘ to get Bx?
We raise B to the x power, Thus
logb (bx) = x.