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
Logq 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 = eS;
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.
DeS = eS,
This is all about exponential and logarithmic function.
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
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).
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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