Logarithms

Here we learn the general laws of logarithms. The list of logarithm formulas are given at the end of this post. Proofs of Logarithm Formulas: Proof of Product Rule of logarithms loga(MN)=loga M + loga N Proof: Suppose that x= loga M Thus, by the definition of logarithm ax=M Again, suppose that y=loga N  ⇒ … Read more

In this section, we will learn about logarithms with examples and properties. Definition of Logarithm  We consider $a>0, a \ne 1$ and $M>0$,  and assume that ax =M. In this case, we will call $x$ to be the logarithm of $M$ with respect to the base $a$. We write this phenomenon as x= loga M … Read more