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How To: Solve logarithmic equations

In this video the instructor shows how to solve logarithmic equations. To solve a logarithmic equation, the first thing you have to do is try to get one logarithmic term if possible. To subtract two logarithmic terms use the formula Log (a) – Log (b) = Log (a/b). Now to get rid of logs, perform exponentiation of the base. Exponentiation of the base is raising a number to the power of the logarithmic term where the number is the base of the logarithmic term. Here the value turns out to be the ...

How To: Add & subtract monomials in polynomials

In this video the tutor shows how to add and subtract monomials. He says that to add or subtract monomials they have to be similar terms. Similar terms are those that have same variables and equal exponents to the variables. He shows how to do this using illustrative diagrams and solves a couple of sample problems. He adds a few monomials with similar terms and also explains how to subtract a few monomials. This video gives an introduction to similar terms and how to add and subtract monomials.

How To: Apply the distributive property

The distributive property is a very important factor to consider in math and may save you a lot of trouble on your math homework. For values which lie right outside parentheses, you will need to distribute this value across the contents of whatever is inside the parentheses. You will need to multiply the value outside of the parentheses by first the first term inside the parentheses and then by the following terms inside the parentheses, distributing the value across all the terms found insid...

How To: Find the 100th term in a sequence

Need to find the nth term in a given arithmetic sequence? See how it's done with this free video math lesson. Need help finding the From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's seri...

How To: Simplify exponential expressions via the quotient rule

This video demonstrates the quotient rule as applied to exponential expressions that appear in the form of, to use the word loosely, a fraction. The name, "quotient rule", refers to the fact that it applies to expressions which are divided by other expressions. The video begins by explaining that the quotient rule allows expressions in this form to be simplified if they contain like bases (i.e., the terms are of the same variable). The quotient rule allows the expression to be simplified by s...

How To: Find the nth term of a geometric sequence

Looking for a primer on how to find the nth term of a geometric sequence? See how it's done with this free geometer's guide. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: Negotiate salary terms

In this tutorial, we learn how to negotiate salary terms. If you have just gotten a new job but the salary is not what you were hoping for, there is a way to negotiate the terms. If you have a great benefit package and salary, you will have the career benefits that you want to have. Talk to your boss or the appropriate person to see what you can do to get a higher pay rate at your new job. See if there is a way you can prove your work to get a salary increase. Negotiate with them to see what ...

How To: Combine like terms

In order to combine like terms, you need to look at the variables. Terms can only be combined if the variables are all identical. The first thing that you would have to do is look for matching variables. In the example, x + 2x5 + y2 - 9x - 2x5 + 5y2, you should try to see which ones match. Then, group them together. Match the x's with the x's and the y's with y's. Therefore x - 9x = - 8x. 2x5 - 2x5 = 0. Y2 + 5y2 = 6y2.

How To: Improve your short-term memory with brain exercises

In this video, we learn how to improve short-term memory. There are many brain exercises that can help, that will jump start your abilities. Remember to focus your attention, take mental snapshots, and connect your snapshots with memory. This will help you not only remember different things, but it will also help you to connect pictures and different details along with it. Just small things like this while you are younger can help improve your short-term memory while you are both younger and ...

How To: Reduce a fraction to its lowest terms in basic math

Want to reduce a fraction to its lowest terms? It's easy. See how it's done with this free video math lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: Find the lowest terms of a proper or improper fraction

Need a little instruction on how to find the lowest terms of a proper or improper fraction in basic arithmetic? Learn how with this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: Solve equations involving square roots

Equations involving square roots are difficult to solve because of the complexity involved in performing operations on the square root terms. But you can follow a series of steps to solve these problems easily. To solve these kind of problems first isolate the square root term on one side of the equation and the non square root terms on the other side of the equation. Now in the next step square both sides of the equation. This gets rid of the square root on the left hand side and the equatio...

How To: Find the greatest common factor, GCF

In this tutorial the instructor shows how to calculate the greatest common factor, or GCF. While computing greatest common factor, you are pulling out the smallest exponents of any common factors along with the factor. Finding the greatest common factor is similar to finding the least common multiple. When given any numbers to find the greatest common factor, the first step in the general procedure to be followed is to break each number down into its factors. You need to break down the number...

How To: Factor the GCF and difference of squares

In this video the instructor shows how to factor the GCF and difference of squares. When you are asked to factorize a number or monomial or a polynomial, the way to do is break it down into individual terms. When asked to factorize a binomial, try to pull out any common terms and factorize the simplified equation. When you are asked to factorize the difference of squares use the general formula which states that the factors of (a*a - b*b) is (a-b) * (a+b). Now substitute the given values in t...

How To: Add & subtract rational expressions

In this video the instructor shows how to add and subtract rational expressions. When you have an addition or subtraction problem of rational expressions, first look and compare the denominator of all the terms. If all of them have the same denominator then the expression can be written as a fraction whose denominator is the original common denominator and whose numerator is the sum of numerators of all the other terms. Simplifying the numerator by adding and subtracting the like terms gives ...

How To: Identify geometric sequences and find the nth term

Have a hard time figuring out what a geometric sequence is? This video will help you to identify different geometric sequences as well as determining its nth term. A geometric sequence is a group of numbers that follow a certain pattern of multiplying a fixed number from one term to another. The tutorial uses 4 different examples of geometric sequences and also shows you how to solve each of these sequences as well. Take some time to watch this video if you are a pre-algebra student, it is a ...

How To: Isolate a variable

If you're struggling a bit with algebra, check out this video to learn how to isolate a variable. Isolating a variable is a matter of separating and simplifying.

How To: Count from 0 to 20 in Finnish

Finnish is an unusual language, which can make it tricky for foreigners to learn. Instead of relying on a book, the Learn Finnish video language-learning tutorial series shows a photograph of a vocabulary term while pronouncing the word in Finnish. This technique allows the student to associate the object itself, rather than the term in their native tongue, will the Finnish word, thus allowing for maximum comprehension and absorption. In this video segment, numbers, or "numerot" in Finnish, f...

How To: Count from 10-100 in Finnish

Finnish is an unusual language, which can make it tricky for foreigners to learn. Instead of relying on a book, the Learn Finnish video language-learning tutorial series shows a photograph of a vocabulary term while pronouncing the word in Finnish. This technique allows the student to associate the object itself, rather than the term in their native tongue, will the Finnish word, thus allowing for maximum comprehension and absorption. In this video segment, numbers, or "numerot" in Finnish, f...

How To: Pronounce the vowels in the Finnish alphabet

Finnish is an unusual language, which can make it tricky for foreigners to learn. Instead of relying on a book, the Learn Finnish video language-learning tutorial series shows a photograph of a vocabulary term while pronouncing the word in Finnish. This technique allows the student to associate the object itself, rather than the term in their native tongue, will the Finnish word, thus allowing for maximum comprehension and absorption. In this video segment, the vowels, "vokaalit" in Finnish, ...

How To: Express a fraction in lowest terms in basic math

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to write a fraction in its lowest terms.

How To: Reduce fractions to their lowest terms

This video tutorial belongs to the Education category which is going to show you how to reduce fractions to their lowest terms. For doing any operation with fractions like addition, subtraction, multiplication or division, they need to be reduced to their lowest terms. To do this look at the numerator and the denominator and decide what number can divide both of them. Continue dividing till you can no more divide them. Now you get the lowest term of the fraction. For example, 2/4 can be divid...

How To: Solve algebraic equations with the y = mx+b format

This video shows us how to solve algebraic equations with the y = mx+b format. When talking about solving y=mx+b format, it’s about solving linear equations so that y is on one side and with some terms x on the other side. Here in this equation 'm' is actually the slope of the line and slope= (rise/run) and it is interrupted with the term 'b'. This can be explained by taking an example of the same format. In the example 2x+3y=9, we need to shift the term '2x' to the other side so that the equ...

How To: Plant flowering bulbs with Lowe's

Flowering bulbs require some few common tools before planting such as compost or peat moss, work gloves, fertilizer, garden trowel or bulb planter and the garden bulb of your choice. During the spring season you can plant tender bulbs such as, irises, gladiolus and elephant ears. In terms of fall plantings you can plant bulbs such as tulips, daffodils, hyacinths and crocuses which could give a beautiful bloom in the spring. In general the blooms will last till three to four weeks, bulbs such ...

How To: Write a thesis statement

In this video, we learn how to write a thesis statement. What you really want to say about your topic is what the thesis statement is. It's nothing but your topic and what you want to say, so don't get scared by the term "thesis statement". Practice writing your paper using this saying instead of thinking of the thesis statement term. Usually in school you are given the topic you are going to write about it, so just state that topic and defend your position on it. It will be the same in real ...

How To: Understand equivalent fractions

In this video the instructor teaches about equivalent fractions. When given a problem to determine if two fractions are equivalent fractions the first thing to do is write them in the lowest terms. A fraction is said to be in the lowest terms if the greatest common divisor of both numerator and denominator is one. So cancel the common factors in the numerator and the denominator till you arrive at the lowest form and finally compare them to determine if they are equivalent. An equivalent frac...

How To: Pronounce the alphabet in Finnish

Finnish is an unusual language, which can make it tricky for foreigners to learn. Instead of relying on a book, the Learn Finnish video language-learning tutorial series shows a photograph of a vocabulary term while pronouncing the word in Finnish. This technique allows the student to associate the object itself, rather than the term in their native tongue, will the Finnish word, thus allowing for maximum comprehension and absorption. In this video segment, the alphabet, "aakoset" in Finnish,...