Friends Previously we have discussed about free online tutor chat and today we are going to learn about most complex topic of math which is Logarithm. Most of the students move away from logarithms. A logarithm of a number is defined as the exponent by which another fixed value, the base value, produced the number.

If we have a logarithm function with base called ‘b’ where b > 0 and b is also not equal to 1 then it can be represented as log b

Let us take an example of logarithm.

The logarithm of 10000 to base is 4, because 10000 is 10 to the power 4: 10000 = 10^{4} = 10*10*10*10

If y = b^{z} then z is a logarithm of y to base b and it can be written log_{b} (y) so log_{10}(10000) = 4

The logarithm to base b = 10 is called the common logarithm. It has many applications in science and engineering. There are many different **Logarithmic** **Formulas** like

log_{b}(1) = 0 because b^{0} =1

log_{b}(b) = 1 because b^{1}=b there are some more formulas available which help to solves the logarithm.

To solve Logarithm Equations, first we have to rewrite the equation in exponential form and then solve it.

Let us take an example of Logarithm.

We have to solve for x in the equation L_{n}(x) = 8

So firstly both side we have to take the exponential form so now the equation can be written as eL_{n}(x) = e^{8}

According to formula when the base of the exponent and the base of the logarithm are same then we can write the equation as x = e^{8}

So the answer is x = e^{8}

To **solve Logarithmic equations** we need practice because it is not very simple to learn but if you practice it then it can be learned. The online tutors are always available to help so you can learn it and attain confidence in solving the problem.

In the next session we will discuss about How to learn Logarithmic functions and You can visit our website for getting information about how to simplify fractions and cbse x science.