which course do you learn logarithms

Full Answer

What grade do you learn logarithms in?

Technically, since logarithms are part of Algebra 2, by regular USA standards, probably 11th grade. Like some people have said, you can obviously learn it whenever you want, since it isn't a very complicated subject, but if you are on the average math pacing in the USA, you should learn in somewhere in 11th grade.

What are logarithms fundamentally about?

And this is what logarithms are fundamentally about, figuring out what power you have to raise to, to get another number. Now the way that we would denote this with logarithm notation is we would say, log, base-- actually let me make it a little bit more colourful.

Are there different bases of logarithms?

While the base of a logarithm can have many different values, there are two bases that are used more often than others. Specifically, most calculators have buttons for only these two types of logarithms.

Why study logarithmic expressions and functions?

Logarithmic expressions and functions also turn out to be very interesting by themselves, and are actually very common in the world around us. For example, many physical phenomena are measured with logarithmic scales.

What class do you learn logarithms?

Indeed, students don't usually learn anything about logarithms until Algebra 2 or even Precalculus. One result of this is that calculus students always seem very comfortable with square roots, but have a very shaky knowledge of logarithms, even though the two concepts have about the same difficulty level.

Is logarithms part of calculus?

The most common exponential and logarithm functions in a calculus course are the natural exponential function, ex , and the natural logarithm function, ln(x) ⁡ . We will take a more general approach however and look at the general exponential and logarithm function.

What type of math is logarithm?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

How do you learn logarithms?

A log of two numbers being divided by each other, x and y, can be split into two logs: the log of the dividend x minus the log of the divisor y. If the argument x of the log has an exponent r, the exponent can be moved to the front of the logarithm. Think about the argument. (1/x) is equal to x-1.

Are logarithms trigonometry?

0:304:38So if log base a log subscript a of x equals y this is the same as saying a to the power of y equalsMoreSo if log base a log subscript a of x equals y this is the same as saying a to the power of y equals x. This the logarithm is the inverse operation of the power operation.

What level math is natural logarithm?

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459....Natural logarithmValue at e1Specific featuresAsymptoteRoot114 more rows

Are logarithms hard?

Logarithms is one material that is difficult for students [1]. Another study on the difficulties in learning logarithms said that students are more focused on the procedural approaches and depended too much on rules rather than the concept of logarithm itself[2].

What are logarithms used for in real life?

Using Logarithmic Functions Much of the power of logarithms is their usefulness in solving exponential equations. Some examples of this include sound (decibel measures), earthquakes (Richter scale), the brightness of stars, and chemistry (pH balance, a measure of acidity and alkalinity).

What are the 3 types of logarithms?

How Many Types Of Logarithms Are There?Common logarithm: These are known as the base 10 logarithm. It is represented as log10.Natural logarithm: These are known as the base e logarithm. It is represented as loge.

Why do we study logarithm?

Why are we studying logarithms? As you just learned, logarithms reverse exponents. For this reason, they are very helpful for solving exponential equations.

Is logarithmic the same as exponential?

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay.

Is the Richter scale logarithmic?

The Richter Scale - Earthquakes are measured on the Richter Scale, which is a base 10 logarithmic scale. This scale measures the magnitude of an earthquake, which is the amount of energy released by it. For every single increase on this scale, the magnitude is increased by a factor of 10.

Description

The course also involves learning in a fun and interesting way that will keep you occupied and a quiz at the end to check your understanding .

Instructor

Ali S. is an Engineering student. He also owns a Youtube channel where he teaches Maths and other courses. He has helped students and his juniors in the past with their studies.

Requirements

No prior knowledge required. This course will start from very basic and take you to advance level.

Description

Logarithm is one of the most important concepts which make handling of large numbers very easy. This course is designed to get in-depth understanding of one of the most important and interesting topics of mathematics. This course is perfect for K10 -K12 students who are appearing for competitive exams like IIT, SAT, Olympiads.

Instructor

I possess B.Tech Degree from IIT Bombay and since last 10 years I am into education. I have passion for teaching Maths and constantly working on it and have been training students for various Engineering Entrance exams in India. I always try to explore how can maths be made simple for my students. I hope you will love the courses.

Who invented the word "logarithm"?

"Logarithm" is a word made up by Scottish mathematician John Napier (1550-1617), from the Greek word logos meaning "proportion, ratio or word" and arithmos meaning "number", ... which together makes "ratio-number" !

What is a logarithm without a base called?

Common Logarithms: Base 10. Sometimes a logarithm is written without a base, like this: log (100) This usually means that the base is really 10. It is called a "common logarithm". Engineers love to use it. On a calculator it is the "log" button.

What is -0??????

So I had homework online and it was exponents, one of the questions I got was 0^3 / (-2)^3. I had put 0 as the answer but once I clicked next it had shown me that I was wrong and that the correct answer was -0. How does that work because I'm pretty sure they are the same

Wanting to understand everything

Hi, I'm currently reading a Precalculus textbook, I enjoy quite a lot but something is stressing me out: "I always want to understand everything fully and rigorously", the problem is that most precalculus books aren't rigorous, so when the author makes an assumption, I try to prove it.

Why does this factorization work?

I'm quite new un this matter, any help will be really useful. Sorry for the bad english :)

How would you explain the concept of a "unit"

to an elementary or middle school student who's seeing it for the first time? Some kids, including 12 year-old me, understand this concept easily, but others get heavily confused by this word, and are left behind because it is assumed that they know what it means.

I don't need the answer. I just want to know if there is a correct answer or not

Professor Lambert and Stassen team-teach an advanced psychology class. Their students recently took their final exams, and the professors are preparing to grade them. Professor Stassen predicts that, if she graded all the exams, she would take 50% more time than Professor Lambert would if he graded all the exams.

Percents

Okay, so I've been quarantined for the past two weeks and my modern algebra class started doing percents while I was gone. All the teacher posts is the worksheet, with no explaination. Can someone give me a quick run down on how to do percents?

Defining a homomorphism in terms of sending basis elements

Lets say we have a free R-module M with basis A. If we define a map from M to an R-module N just by saying where the basis elements in A get sent, and defining where everything else in M gets sent by R-linearity (i.e f (a1 + a2) = f (a1) + f (a2)), do we automatically get an R-module homomorphism?