Learn online logarithms

LOGARITHMS, usually referred to as logs play a very important role in mathematics.They are very useful in areas like scientific computation and solving algebraic problems. Though they seem very complicated but they are very simple once you understand them.Let us look at the formal definition of logs.Logarithm of a number to a given base is the power to which the base needs to be raised in order to get the numeric result, that is, for any number x, base b and exponent y definition will be as follows:

`"If "x = b^y` , then `y = log_b (x)`

There are two types of logarithms, one is with the base '10' and the other with base as 'e'. Those with base e are known as natural logarithms and are denoted as 'ln' and with base 10 are written as log.Think of any number..........lets say 8,write down the possible ways of writing it.Ones which come to my mind are: 8*1, 10-2, 5+3, 4*2,,,,and so on.One way of writing it in log form is Log2256. We will learn how to compute these logarithms online in a simple way in this section.

Learn Algorithms Online : Laws of logarithms


Different rules or identities or laws of logarithms are as follows:

1) loga(xy)= logax+logay ( This is referred to as product law)

2) loga(x/y)= logax-logay (This is referred to as division law)

3) logaax=x ( since logaa=1)

4) logaxn=nlogax (Power rule)

5) blogbx=x

6) logbx= lobkx/logkb (Change of base formula)


Learn Logarithms Online : Examples


Examples are as follows:

1) log(12)= log(3*4)= log3+log4

2) log(25)=log(50/2)= log50-log2

3) log525=log552=2log55=2(1)=2

4) log12525= log525/log5125=log552/log553= 2log55/3log55= 2(1)/3(1)= 2/3


Examples are as follows:

1) log(12)= log(3*4)= log3+log4

2) log(25)=log(50/2)= log50-log2

3) log525=log552=2log55=2(1)=2

4) log12525= log525/log5125=log552/log553= 2log55/3log55= 2(1)/3(1)= 2/3