Brian McLogan
converting between logarithmic and exponential
π Learn how to convert logarithmic equations to exponential equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
Learn how to write a exponential equation written as a logarithmic equation
π Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
Tutorial - How To Evaluate a Logarithm To The Third Root of a Number
π Learn how to evaluate logarithms with radicals. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n =...
Brian McLogan
Converting from exponential to logarithmic
π Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
Finding all the Solutions of a Higher Order Polynomial by Factoring
π Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Brian McLogan
Solve a Polynomial with Complex Zeros by Factoring
π Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Brian McLogan
Find the Zeros of a Polynomial by Factoring Substitution
π Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Brian McLogan
How to simpify three radicals in an expression, 2root(24) + 5root(27) - root(6)
π Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
How to simplify imaginary numbers to a higher power
In this video series I show you how to simplify complex numbers to a higher power. We notice that i raised to a power repeats itself after the 4th degree. So we will divide the power in the problem by 4 and use the remainder to simplify...
Brian McLogan
Pre-Calculus - Evaluating a Logarithm with a Rational Root
π Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Simplify a radical expression with variables
π Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
How to Multiply Two Radical Expressions and Then Multiply
π Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Brian McLogan
Master Simplifying the square root of an algebraic expression
Master Simplifying the square root of an algebraic expression
Brian McLogan
How to evaluate a radical of a perfect square rational number ex 6, root(1/25)
π Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
How to Solve a Radical Equation by Rewriting Your Radical with a Rational Power
π Learn how to solve radical equations having one radical term. To solve a radical equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of the radical by taking on...
Curated OER
Word Problem Solving- Exponential Growth And Decay
Concepts from the last few videos, particularly exponential growth and decay functions, are covered in this video about word problems. Viewers can apply their new (or growing) algebraic knowledge to solve the word problems along with Sal.
Curated OER
How Do You Solve a Word Problem by Dividing Monomials?
A word problem, a triangle, monomials, exponents, what to do? The instructor explains how to set up this ratio in order to solve the problem and express it as a monomial in simplest form.
Curated OER
How Do You Solve a Word Problem by Taking a Monomial to a Power?
You've got a cube and a monomial for the length of a side, how do you find the volume? Oh, and the monomial expression has exponents. Just use the formula for finding the volume of a cube and use the properties of powers to multiply the...
Curated OER
How Do You Solve a Word Problem with Exponential Growth?
Does this word problem describe exponential growth? Is something increasing? Is it increasing at a constant rate? How much is it increasing? Use the function formula for exponential growth to figure out this problem.
Curated OER
How Do You Solve a Word Problem by Dividing Monomials?
A word problem, a triangle, monomials, exponents, what to do? The instructor explains how to set up this ratio in order to solve the problem and express it as a monomial in simplest form.
Curated OER
How Do You Solve a Word Problem by Taking a Monomial to a Power?
You've got a cube and a monomial for the length of a side, how do you find the volume? Oh, and the monomial expression has exponents. Just use the formula for finding the volume of a cube and use the properties of powers to multiply the...
Curated OER
How Do You Solve a Word Problem Using an Exponential Function?
In six days Tina gets exponentially better at the number of times she can jump rope. Let's create an equation and see how many times Tina can jump rope on the sixth day. First identify the variables. Next make a table, then plug in the...
Curated OER
How Do You Solve a Word Problem by Multiplying Binomials?
Find the area of several rectangles that have been given monomial values. When the rectangles are put together, the sides are added together to form a binominal value. Now use the formula for area to multiply the two binomials. Use the...