Exponents And Logarithms

posted on: 16 Jun, 2012 | updated on: 08 Sep, 2012

In mathematics, logarithm is a function or a power function which is used to increases the number logarithmically. The Logarithm of 10000 to base 1000 is 4, because 10000 are 10 to the power 4.
We can also write as: 10000 = 10 * 10 * 10 * 10;
Suppose s = qt, then ‘t’ is the Logarithm of ‘s’ to the base ‘q’, and it is written as
Log_q s, so log₁₀ (10000) = 4;

Let’s see how to calculate Exponents and Logarithms Functions. To solve the exponential and logarithmic Functions we have to follow some steps which are given below:

Step 1: To solve exponents and logarithms take a logarithm function.

Step 2: Then put the exponent on both sides of the logarithm function.

Step 3: As we know exponent value and logarithm function are same as it gets multiplied.

Step 4: When we calculate the logarithm function we write the exponent value first and then log function.

Step 5: If any value present inside the logarithm function, then it can be written according to the rule of logarithm function.
Let’s talk about Exponential Function:
The functions which are distinct in the power of ‘e’ is said to be exponential function. In mathematics, exponential function is used to illustrate the relationship, when we change the independent variable and it gives the same proportion change in the dependent variable. The value of exponential function is approximately 2.718281828.

Suppose we have s = e^S;
Then the graph of this function will always be increasing as the value of ‘x’ increases. The graph of this function lies towards the x –axis.
And the derivative of exponential function is its self.
De^S = e^S,
dp,
This is all about exponential and logarithmic function.

Topics Covered in Exponents And Logarithms

Inverse Function

posted on: 19 Jun, 2012 | updated on: 20 Jun, 2012

Inverse function is the backtrack approach of a function. If there is a function with input ‘p’ and its giving the output as ‘q’ then the function which has input as ‘q’ and gives the output as ‘p’, that function will be called as the inverse function of a given function. When we perform a task and get an output, then if we treat that output as input and get the initia...Read More

Natural Logarithms

posted on: 19 Jun, 2012 | updated on: 16 Aug, 2012

In mathematics, natural Logarithm is the Logarithm which has base ‘e’, where ‘e’ represents transcendental and irrational constants that is approximately equal to 2.718281828. The natural logarithm is basically written in the form of ln (s), and sometimes as loge (s), if the base of e is defined as simply log(s).
If the value of ln (7.389...) is defined as 2, because...Read More

Exponential Function

posted on: 20 Jun, 2012 | updated on: 08 Sep, 2012

We generally study different type of Functions in the Math like the Trigonometric Functions which include the sine function, the cosine function, the Tangent function, the log function, the greatest Integer function, etc. One of such functions of the math which is the most common function is exponential function.
The exponential function in the context of the math ...Read More

Solving Logarithm Equations

posted on: 16 Jul, 2012 | updated on: 17 Jul, 2012

Logarithmic equations can be solved by applying regular algebraic operations. To solve these types of equations we should have good knowledge of how arithmetic operations are used with logs. Operations like addition, subtraction, multiplication, division, exponent etc. can also be found in solving Logarithm equations. General way of writing an algebraic equat...Read More

Solving Exponential Equations

posted on: 16 Jul, 2012 | updated on: 17 Jul, 2012

An exponential equation has applications in many fields like finance, physics and the natural sciences and they can be solved using some predefined rules. An equation can be defined as a mathematical term which shows relationship between a dependent variable and an independent variable. In equations that we are going to deal with now has an independent vari...Read More

Real Exponents

posted on: 18 Jul, 2012 | updated on: 23 Jul, 2012

Exponents are basically the powers to which a number is raised. Raising a number to any power means multiplying the number to itself that number of times. Where number is called as base. Real exponents are those in which power will be a real number i.e. it can be any negative or positive Integer or fraction or a Whole Number. When exponents are having fraction, they are c...Read More