what is the first theory about logarithm?

Question

i didnt what is the first theory all about logarithm so i want to ask it from you my dear friend out there...

Answer 1

I suppose but not sure that the neperian logarithm was defined as the primitive of 1/x

Answer 2

The log. of a number to a given base is the index of the power to which the base must be raised in order to give the number.
This may sound complicated but consider a few examples:-

10³ = 1000
number is 1000
base is 10
power is 3
log(base 10) of 1000 = 3

Similarly 2^4 = 16
Log (base 2) of 16 = 4

Similarly 5² = 25
log(base 5) of 25 = 2

Hope these examples help.

Answer 3

first theory of logarithm :

a^b = c equals alog c = b