What's the big picture? Every computer device you have ever used, from your school computers to your calculator, has been using algorithms to tell it how to do whatever it was doing. Algorithms are a very important topic in Computer Science because they help software developers create efficient and error free programs. The most important thing to remember about algorithms is that there can be many different algorithms for the same problem, but some are much better than others!

And frankly, this is already quite simple. This is equal to the logarithm base b of a plus the logarithm base b of c. And this comes straight out of the exponent properties that if you have two exponents, two with the same base, you can add the exponents.

So let me make that a little bit clearer to you. And if this part is a little confusing, the important part for this example is that you know how to apply this. So this thing right over here evaluates to x.

So log base b of a is equal to y. So log base b of c is equal to z. Now, what we know is, this thing right over here or this thing right over here tells us that b to the x power is equal to a times c. Now, this right over here is telling us that b to the y power is equal to a.

And this over here is telling us that b to the z power is equal to c. Let me do that in that same green. So b to the zth power is equal to c. This is the same statement or the same truth said in a different way. And this is the same truth said in a different way.

We know that already-- times b to the z power. This comes straight out of our exponent properties.

And so if b to the y plus z power is the same thing as b to the x power, that tells us that x must be equal to y plus z. The important thing, or at least the first important thing, is that you know how to apply it. And then you can think about this a little bit more, and you can even try it out with some numbers.

You just have to realize that logarithms are really just exponents.

I know when people first would tell me that, I was like, well, what does that mean? And then this right over here, we can evaluate.Section Radicals. We’ll open this section with the definition of the radical. If \(n\) is a positive integer that is greater than 1 and \(a\) is a real number then.

If you are an R blogger yourself you are invited to add your own R content feed to this site (Non-English R bloggers should add themselves- here).

finally after all these years i am beginning to make sense of the purpose of integration in real life. well not really. its just as confusing ;) but your article is definitely helping me see calculus as something beyond 50 marks worth of questions that it was in the 12th standard.

Play a game of Kahoot!

here. Kahoot! is a free game-based learning platform that makes it fun to learn – any subject, in any language, on any device, for all ages! The slide rule, or slipstick, is a mechanical analog yunusemremert.com slide rule is used mainly for multiplication and division, and also for "scientific" functions such as roots, logarithms and trigonometry, but usually not for addition or subtraction..

There are many different styles of slide rules.

They are usually linear or circular. They have a standardised set of markings (called scales). SOLUTION: Rewrite as a sum and/or difference of multiples of logarithms: ln((3x^2)/square root 2x+1)).my answer was 2ln(3x) + 1/2ln(2x+1) is this correct?

Algebra -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Rewrite as a sum and/or difference of multiples of logarithms: ln((3x^2)/square root 2x+1)).my .

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Calculus - Numericana