Previously we have discussed about math problem solver free and In today’s session we are going to discuss about Exponential functions and formulas, If x is a integer number and other number y is increases by x times product of a fixed value than the **logarithmic** of Y is x. this fixed value is known as base value of the** logarithmic** function according to which it is categorized in three types as:

Binary logarithm, common logarithm and natural logarithm functions.

Binary logarithm includes base value of 2 so if we say that any number is y then its binary logarithm will be represented as:

log _{2 }y = x, similarly the common logarithm which have base value of 10 can be shown as:

log _{10 }y = x.

the natural **logarithmic** function uses exponent integer e as its base value whose constant value is 2.718.

natural **logarithmic** functions are easily converted into its relative **exponential functions** as following:

log _{e }y = x

to convert it into exponential form both RHS and LHS are put in exponent’s power as

e ^{log e y} = e^{x}

we know that the exponents and logarithm are opposite to each other so

e cancels the log on LHS:

y = e^{x}

‘e’ is also known as Euler Constant.

Logarithm is used in various application of mathematics like computational theory, Number theory, statistics problems and probability and several more.

While solving** logarithmic** queries there is one headache for students that they have to memorize various **logarithmic formulas** for solving **logarithmic** equations but for making this task easier online math help is provided by online math tutors which explains these basic fundamentals and formulas. Some of the those formulas are as :

log_{b}(xy)= log_{b}x + log_{b}y ( product can be normalized into form of sum of logarithms of each)

log_{b}(x/y)= log_{b}x – log_{b}y (devision can be solve by subtraction of logarithms of each variable)

power formula is as log_{b(}x^{p}) = p (log_{b}x)

for root calculation → log_{b}(p ½x) = (log_{b}x)/ p

In the next session we will discuss about Logarithmic and Exponential Functions and You can visit our website for getting information about online tutor and cbse 10th sample papers 2011.