What is Logarithm ?

hi

What is logarithm used for?

The natural logarithm has the number e

(≈ 2.718) as its base;

its use is widespread in mathematics and physics,

, because of its simpler derivative.

The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science.

Logarithms are mainly the inverse of the exponential function.

a When you read that, you say "if a to the b power equals x,

then the Log (or Logarithm) to the base a of x equals b."

vLog is short for the word Logarithm

Here are a couple of examples: Since 2^3 = 8, Log ( = 3. 2

For the rest of this letter we will use ^ to represent exponents - 2^3 means 2 to the third power.

The Scottish mathematician John Napier published his discovery of logarithms in 1614.

His purpose was to assist in the multiplication of quantities that were then called sines.

The whole sine was the value of the side of a right-angled triangle with a large hypotenuse.

There are two main reasons to use logarithmic scales in charts and graphs.

The first is to respond to skewness towards large values; i.e.,

cases in which one or a few points are much larger than the bulk of the data.

he second is to show percent change or multiplicative factors.

the exponential function,

in the real world represents the continuous compounding ratio and natural log is the opposite of e

time needed to reach a certain level of growth.

The number e is a famous irrational number, and is one of the most important numbers in mathematics.

. It is often called Euler's number after Leonhard Euler (pronounced "Oiler").