100WC#7: The illogical definition of "I was so cross that"

I was so cross that the illogical definition of "I was so cross that" was "mad I was that" instead of "I was so mad that". I was so cross at the definition of “I was so cross that”. I know it wasn’t a big deal, but the USA decided that “I was so cross” was supposed to be “mad I was that” and not “I was mad that”. Well, it was actually Webster, the dumb and outdated dictionary. I felt angry and exhausted, so I went to bed. When I was sleeping, I dreamed of flying pigeons, which was illogical.

Solving Logarithmic Equations/Operations in Math

Solving Logarithmic Equations/Operations in Math

WARNING

All words or numbers highlighted in red indicate that blogger has either (A) Resetted the features that shouldn't have been resetted or (B) deleted symbols and math equations (fraction lines, the square root symbol, ect.)

WHAT YOU MUST KNOW IN ORDER TO START SOLVING LOGARITHMS

• Exponents

• Square roots

• Multiplying

• Algebra

And, you must be comfortable with math.

What’s up everyone! I’m back today with another blog. This time I will be teaching you How to solve Logarithmic/Log Equations/Operations in math. Well, you might have heard of the “Log” equation, or seen it on a calculator. Let’s say log(8 = 0.903089987. Okay, well, we’re not going to go that deep into log(8 or log(2. Well, let’s start off with a question before we get started. (Oh, by the way, I'm very sorry for when I pasted this to blogger, it resetted literally everything, so it might be a little hard to read. And all the subscript in the equations are resetted.)

What is a Log Equation? When your using a log equation, it’s like exponents and algebra. When your using log, it’s like: What power do I need to raise to to get a number? Or, you could say, y to the x power equals z. I’ll draw them out.



The bottom picture is basically saying "what number to the power of 2 can I have to get 16? Or the bottom picture could be saying 2 to the x power equals 16." Either way is fine. Or, the top picture is saying that y to the x power equals z. (By the way the z on the top picture looks like a 2.) In a log, there is a base. The base is that small number written at the bottom. For example in the bottom drawing I made, 2 is the base because it is small and written at the bottom.

Here is an example: log₃ ⁸¹ = x. So, this is basically saying 3 to the x equals 81. So what power do we have to raise 3 to, to get to 81? We know that 1 can’t work. 3² is 9. 3³ is 27. So let’s try 3⁴. This is basically 3x3x3x3 which is the same as 9x9 which is 81. So now you have it, log₃ ⁸¹ = 4.  

Now try this one: logx ⁸¹ = 4. What is x? Try to take a moment and solve this on your own… So, this is basically saying that x to the 4th power equals 81. Write it out like this: X⁴ = 81. To do that, we need to take the 4th root, I believe, from each side. It’s the 4th root because it is X to the power of 4. So, it would be (X⁴)14 = (81)14. So, I would write it out like this: X = 4*81. Notice how that’s different from the division sign, so we’re not dividing. So the fourth root of 81 is 3. X = 3. *Excuse me, blogger deleted the square root sign there. So just imagine a square root sign between 4 and 81.

Let’s try an easier one: log₅ ˣ = 4. This is basically the same thing 5 to the 4th power equals x. Which means, 5x5x5x5 = x. 5x5 is 25, and 25x25= 625. So, x = 625.

Let’s try a harder one: log₃₂ ˣ = 45. This is basically the same thing as 32 to the power of 45 = x. So first, you want to find the 5th root of 32. Why is it the 5th? Because the denominator is 5. And then, raise it to the power of 4.Why 4? Because the numerator is 4. So what number raised to the 5th power equals 32? 2. 2x2x2x2x2 = 32. So the 5th root of 32 is 2. So now, we have to raise 2 to the power of 4. So 2⁴ = x. 2⁴ is 16. So x = 16.
Now see if you can figure out this one: log ˣ = 24. You might have noticed a problem: there is no base. In logarithms, if there is no base, it is assumed to be base 10. Why? Because on calculators, when you write a log equation, the calculator itself will assume it’s a base 10. Let’s say I typed in “log(100” on the calculator. I didn’t type in a base, so the calculator will assume it’s base 10. So when I see what the answer is to the problem, the calculator will say “2”. Because 10 to the 2nd is 100. So if you were to go back to the problem given, you would write it out like: log₁₀ ˣ = 32. Okay, the answer would be a ginormous number. So i’ll leave the answer as x = 10³².

I’ll give you a challenging one now: log (log x) = 3. Remember, if there’s no base, then the base is 10. So log₁₀ (log x) = 3. Now in this one, there’s 2 logs. For now don’t worry about the second log. This is basically the same thing as 10³ = (the numbers in the parentheses). So, 10³ = log x. 10 to the 3rd is 1000. So 1000 = log x. Hey, this second log doesn’t have a base. So what do we put as base? 10. So 1000 = log₁₀ x. In this case where I first found confusing, you put it in base 10 of 1000, if I’m saying it right. So, 10¹⁰⁰⁰ = x.

Now try this one: log₆₄ ⁴ = x. So let’s think of this as 64 to the x power = 4. Well, this might be a tricky one for beginners. So what power do you have to raise 64 to, to get to 4? 64 to the 2nd is 4096, which is way more than what we were looking for. In fact way more that we might have to go below 1. So let’s think about log₄ ⁶⁴ = x. What power do you have to raise 4 to get 64? 3. 4x4x4 = 64. So when we’re doing problems like log₆₄ ⁴ = x, all we do is flip the reciprocal of 3. So, 64 to the *1/3 power equals 4.
                     *I meant to put a fraction line dividing the 1 and 3, with 1 as numerator and 3 as denominator. But blogger has deleted it. So I will put a slash between the 1 and 3. 

Summary:

• A logarithm is an equation with algebra and exponents. To solve one, think of y to the x power equals z, shown on the picture from the top. Or, you could think of, what power do I need to raise y to, to get z?

• Every logarithm has a base, like base y of z equals x.

I think we have a bit of a warm up here. Now, I will give you a few logarithm problems, and try solving them on your own. The answer key is at the end of this blog. We will start out with some basic ones, and then progress on to harder ones.




Log₃ ˣ = 4




Log ₓ ⁶⁴ = 3




Log ˣ = 2




Log₃₂ ² = x




I think I won’t make this blog too long. I’ll end it here. If you have any questions, please write it in the comments section. The answer key is below. I hope you enjoy learning logarithms. BYEE!

Answer Key:

81

4

100

*1/5
*There was a fraction line dividing the 1 and 5, with 1 as numerator and 5 as denominator. But blogger has deleted the fraction line, so I will put a slash between the 1 and 5.

Beginner Coding/Programming: JAVASCRIPT

Beginner Coding/Programming

Have you ever wondered how to script? What is scripting, anyways? How do you script? What are the main languages? Well, today, I will teach you a language called Javascript. let’s start off with some questions.

Questions about programming
Let’s get things straight first. What is programming? Programming is the action of writing computer programs. Or writing scripts to tell the computer what to do. It’s like the brain. The brain is kind of like the programmer that’s telling the body what to do. Programming is part of Computer Science. And, what is a language? A language is the method of human communication, written or spoken, consisting words in a structured way. Well, in this case i’m talking about programming language. It’s the same as a language, just on a computer. So, Javascript is a programming language. There are multiple different programming languages, like we have multiple different languages.

Why programming? There are multiple different uses for programming. 1. Lot’s of businesses and jobs require programming. Well, okay, I’m not a grown up so I can’t really explain why. 2. To create games, you need to use programming. Well, you are using a computer to create your own video games, so, you will need to understand program to program your own video games. 3. I think it’s fun. Programming is hard, but still fun. There are tons of more reasons, but I’ll just explain a few.

What other names are there for “programming”? There are “scripting” and “coding”

Okay, these should answer the main questions. Now, I have a warning for you guys.

Warning:

Coding may feel totally different to you. Even if you’ve had experience with coding, there are hard and easy things you can learn. If you want to learn coding, you gotta have that positive mindset. Think about this: when you first learned a language, was it hard? That’s the same for coding--it’s like learning a totally different language. Don’t expect it to be easy. Now, the first time you learn how to code, it will be confusing. Once you reread it a few more times, you’ll understand. Have fun coding!

JavaScript

To start, I always like to learn how to type your own name in JavaScript. To type your own name, type your name between 2 quotation marks and add a semicolon at the end. For example

“Wayne”;

Nice job! In JavaScript, when we surround a word with quotation marks, that’s called a string. Strings are used to represent sequences of letters, numbers, and symbols. It’s like a variable, which is used to store information. In fact, a string is a variable, known as string variable. Let’s move on.

JavaScript also have built-in features, called functions. To call a function, simply write its name, (without quotations) and end it with a set of parentheses. Try calling the alert function:

alert();

Well, many functions like the alert function can take instructions, called parameters. By sending a string into the alert function, we can put text on the pop up box. Try putting your name.

alert(“Wayne”);

Often when programming we need to store values into a container, or box, so we can use them later. To store values, we need to use a variable. ‘var’ is short for variable. So, let’s store your name into a variable.

var firstName = “Wayne”;

Great! Now we have a variable named firstName that has a string stored inside it. Output it to see what it looks like.

firstName;

In some softwares it prints the information stored in the variable below the variable. In some other softwares it’s not like that.

So far you’ve worked out only one value type (strings), but JavaScript has many! Another example is a number. Pass any number into the alert function. Just like a function, there are no quotations surrounding the number.

alert(123);

You might have not thought of this, but JavaScript can also do math! Type out a math equation like you would write one. Or combine 2 numbers. The answer should show in the output

123 + 321

Great! JavaScript can not only combine numbers but can also combine strings. Create an alert function that combines your name and a string.

alert(firstName + “ is awesome!”);

Note: in order for the message to work, you must add a space after the first quotation.

Great! Now you have a basic idea of JavaScript. Let’s move on to more complex strings.

Strings

Remember, strings are values made up of text, numbers, and symbols. Strings are contained within a pair of quotation marks or single quotation marks and end with a semicolon. Example:

‘This is a string.’;

“This is a string, lol don’t trust that one JK”;

Now, let’s say you want to use quotation marks inside a string. What do you do now? Well, simply use the opposite quotations. So, if you’re using double quotations for the string, then use single quotations for the word(s) inside the string. If you’re using single quotation marks for the string, then use double quotation mark for the word(s) inside the string. Here is an example below:

‘Remember to say “Please” and “Thank You!”’;

Strings have their own built in features and variables, known as properties. These are some of the properties below.


Length

A string’s length property keeps track of how many characters the word has. To use it, type the words between quotations, then add a .length and end with a semicolon. The length in .length is not capitalized. Here’s an example below:

“Hippopotamus”.length;

Output

12

2. toLowerCase

A string’s toLowerCase returns all letters in the string to lowercase. To use it, type the words between quotations, then add a .toLowerCase, parentheses and close parentheses, then a semicolon. Here’s an example below:

“CHILL”.toLowerCase();

Output

“Chill”

3. toUpperCase

A string’s toUpperCase returns all letters in the string to uppercase. To use, type the words between quotations, then add a .toUpperCase, parentheses and close parentheses, then a semicolon. Here’s an example below:

“why am i so tiny?”.toUpperCase();

Output

“WHY AM I SO TINY?”

Numbers and Math

Numbers are mathematical operations. You don’t need any special syntax or symbols for numbers. Just write them straight forward ending with a semicolon. Hey, you could cheat on your homework using these. Example:

12345;

JavaScript doesn’t confuse adding numbers and decimals together. Example:

8 + 2.16347;

Output

10.16347

Sadly, fractions don’t exist in JavaScript. But you can rewrite them as decimals or division problems, like below:

1÷3




Output

0.3333333333333333

Improper fractions are the same:

12/10;

Output

1.2

To use mixed numbers, add the whole number and the fraction.

2 + (3/2);

Output

3.5

You can make negative numbers by placing the (-) in front of the operator or subtracting a number from a smaller number.

-7;




4-5;

Output

-1

Variables

Variables are values that can store any type of JavaScript value. var is the keyword for JavaScript when you declare a variable. Example:

var x = 2;

You can even use variables when declaring other variables. You can also give an existing variable a new value. Examples below:

var = 100;

x + 200;

Output

300




var x = 100;

var y = x + 200;

y;

Output

300




var day = “monday”;

day = “tuesday”;

day;

Output

“tuesday”

Functions

Functions are blocks of code that can be reused and renamed. Here’s how to declare a function.

function addTwoNumbers(x, y) {

return x + y;

}

Note that functions don’t have Parameters.

function greetThePlanet() {

return “Hello World”;

}




greetThePlanet();

Output

“Hello World”

If a function does have parameters, you’ll need to provide values inside the parentheses when using the function. Example:

function square(number) {

return number * number;

}




square(12);

Output

144



These are all the basics you should learn. Remember, if you don’t get it, it’s fine. If you reread close enough, you’ll eventually figure out. How do you think you could create your own game, or whatever? You have to know how to code. But first, the basics, right? BYE!;

100WC#6: 4 is greater than 20.

You might consider me rich, since I have saved up $4. 4 DOLLARS THAT’S A TON OF MONEY! It’s like $4,000,000ₓ₁₀⁵º! Ok, anyway, I meant that you could probably buy a Lambo with that much! And you say you only saved up $20! 4 IS WAY MORE THAN 20! (4>20). Anyway, I put my savings in a JAR. I didn’t need a bank. Well, the next morning I went to the jar… empty. What a surprise. MY MONEY HAD BEEN STOLEN! AND 4 DOLLARS IS A TON OF MONEY! I guess I could trust a bank.

100WC#5: A coin for nothing

I walked on the pavement. I came across this red ladder, as you expect a red ladder out of nowhere. I climbed up, like a 5 year old, and found a coin at the top of the building. I took it, climbed back down, and then went to the store and spent the coin on a play machine. I was operating a ship and, when you expect a 5 year old to be a pro video gamer, I was so bad I crashed my ship and it was SINKING! So looks like I spent my coin for nothing. GAME OVER!