Tips To Remember How Math Logarithmic Notation Works

Logarithms are really fun and interesting, but I have seen many students find changing logarithmic notation to exponential notation and vice versa quite confusing. Well here are some useful tips to make you remember that this conversion is simpler than you have expected.

The exponential form is where we have the base number multiplied according the exponent to get the answer. Here is an example from online math tutor:

When you multiply 2 four times you get 16. That is 2 x 2 x 2 x 2 = 16.

This can be written in the exponential form as 24 = 16. Let’s look deeper into this notation:

log1

Let’s now try to follow how we can convert the exponential notation to the logarithmic notation:

log2

As show above, both the exponential notation and the logarithmic notation have the same base number. Next, there is an exchange in the exponent and answer while writing it in the logarithmic notation.

This can be better understood with an example:

Convert 34 = 81 from an exponential notation to logarithmic notation.

Here 3 is the base number which will remain the same even in the logarithmic form.

We have 4 as the exponent and 81is the answer which can be written as:

log3

Did you get a little hold of this method? Good let me show you one more example:

Convert 52 = 25 from exponential form to logarithmic form.

Everyone likes the 5 times table, for some reason it’s quite easy to memorize.

Here observe 5 is the base number and 2 happens to be the exponent. Multiplying 5 x 5 gives 25 as the answer. Now converting the exponential form to logarithmic form:

4-1hp6teb

Taking a step further, let us now convert the logarithmic notation into exponential notation applying the same process backwards.

Convert log4 64 = 3 from logarithmic notation to exponential notation.

Here the given logarithmic notation can be changed to exponential notation by keeping the base number 4 the same. Follow the steps below:

log5

Hence the exponential notation for the given question is 43 = 64.

Good so far! Now, have you ever observed some logarithms written without a base?

For example, notations like log 5, log 16 or log 150. Are they really without any base number? The answer is NO! They have a base number which is 10 it’s called the common base.

Hence, logarithms with base number 10 are called common logarithms. This can be shown as below:

log6

Convert the given exponential form 103 = 1000 to logarithmic form?

Here we have the base number for the exponential form as 10, so the final answer will be a common logarithm. Hence we can write the given question into a logarithmic notation as follows:

log7

So the final answer is log (1000) = 3. [Not to forget it still has a base 10.]

Now you are familiar with the logarithmic notation and ready to change exponential notation into logarithmic notation. But remember logarithms does not stop here, these are just few useful tips to get you started with the logarithmic notation.

Read more – Solving Logarithmic Equations

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Read more – Top 10 Tips To Help With Math Homework

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Geometry

Geometry is a subject that many students dread with. The shapes of geometry don’t translate very well on a board, students call for a much more visual imagination to grasp the concept like angles, lines, points, analytical geometry, parallel lines, the coordinate plane, midpoints, distance, congruent triangles, slopes, deduction & formal proofs, equation of lines, introduction of triangles, polygons, right triangles Pythagorean theorem, angles of triangles, similar triangles, congruent triangles, quadrilaterals: rectangles, trapezoids, rhombuses, parallelograms, squares; perimeters & areas circles; lines associated with circles: chord, diameter, radius, tangent, secant; the equation of a circle; angles related to a circle; area & circumference! On the other hand, geometry is a necessary component of a better education.

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Read more – Some Important Advantages Of Online Math Tutor 

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Make Math Fun for Your Kid through Math Homework Help Online

 Math Homework Help

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If we want to focus on particular one subject then we have to take immense help from the teacher which can be available through private tuitions. Private tuitions are also available but time management in such cases is considered as a big problem. If you have taken up mathematics as a subject then you can easily land into toughest phase of your life. For me mathematics is considered as one of the toughest subject and if the subject is for your main paper then it is sure you will need extra help to cope up with it. College math tutor help online is the way through which you will get better guidance and also come across some of the good teachers who will help you to bring in the best in you through their expert advice and great way of teaching. It makes the subject pretty easy for any student and also helps the student to develop a kind of great interest over the subject. So, choose a good and efficient online teacher so that you can get the best help possible. 

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Homework Help in Math

 

 

 

 

 

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