Brian McLogan
Using quotient rule of logarithms to solve an equation, log4 (n + 1) - log4 (n - 2) = 1
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Evaluating an expression with one variable ex 9, ((z - 1)^2 + z) / (z + 1); z = -7
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Brian McLogan
Simplify expressions using fundamental identities
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Brian McLogan
Learn how to multiply rational expressions
👉 Learn how to simplify expressions by multiplying its terms. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents are evaluated using the product rule, the quotient rule...
Brian McLogan
Dividing two polynomials using synthetic division
👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Dividing two simple rational expressions by factoring
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Divide two rational expressions by simplifying
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Dividing two polynomials using synthetic division
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Brian McLogan
Dividing two polynomials using synthetic division
👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Expanding logarithmic expressions
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
How to add two fractions with same denominator and then simplify the answer
👉 Learn how to add or subtract fractions with common denominators. When adding or subtracting two or more fractions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then...
Brian McLogan
What is the quotient of powers of exponents
👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...
Brian McLogan
Applying the power rule of exponents to an expressions
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Simplify by dividing two rational expressions using factoring
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Tutorial - How do we divide complex numbers, 8/i
In this video series I will show you how divide complex numbers. We do this by eliminating the imaginary number on the denominator by producing equivalent fractions. We do this by multiplying i if we have an imaginary number on the...
Brian McLogan
Using synthetic division with missing terms
👉 Learn about dividing by synthetic division when there is a missing power. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Dividing two rational expressions by multiplying by the reciprocal
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
How to write the quotient of complex numbers in standard form
In this video series I show you how to simplify rational complex numbers. We do this by eliminating dividing by an imaginary number. We can either do this by multiplying by i which produces -1 or multiplying by the conjugate of a...
Brian McLogan
Dividing Polynomials using synthetic division
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Brian McLogan
Dividing two polynomials using synthetic division
👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Dividing rational expressions
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
How to divide two polynomials using synthetic division
👉 Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for...
Brian McLogan
Given a Zero Determine the Remaining Zeros of a Polynomial
👉 Learn how to find all the zeros of a polynomial given one rational zero. 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...
Brian McLogan
Algebra 2 - Learn how to simplify dividing by an imaginary number 2/8i
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...