Solve Exponential Equations (Using Logs, Natural Log, Different Bases) 10 Examples @MariosMathTutoring

Uploaded August 2024 | Updated September 2026, 1 week ago

In this video we discuss 10 different examples illustrating how to solve exponential equations. We do examples involving the one to one property of exponents, the use of logarithms and natural log, factoring, different bases, and more!

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
mariosmathtutoring.com/free-math-videos.html

➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)
youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

Solve Exponential Equations (Using Logs, Natural Log, Different Bases) 10 Examples

Write the Sine and Cosine Equation Given the Graph

$Dividing Rational Expressions and Identifying Excluded Values Learn how to divide rational expressions and identify excluded values in this algebra tutorial! Marios Math Tutoring demonstrates the keep it, change it, flip it method (multiplying by the reciprocal) for dividing algebraic fractions. Well go through two examples, showing you how to factor polynomials in the numerator and denominator, identify all excluded values (including those from the numerator of the flipped fraction), and simplify the expressions by canceling common factors. In this video, youll discover: 0:00 Introduction to Dividing Rational Expressions & Excluded Values 0:20 Dividing Fractions: Keep it, Change it, Flip it (Multiply by the Reciprocal) 0:40 Example 1: (x² + 10x + 25) / (x² + x - 12) ÷ (x² - 25) / (4x - 12) 1:00 Factoring All Polynomials (Trinomials, Difference of Squares, GCF) 2:10 Identifying Excluded Values (Denominators & Numerator of Flipped Fraction) 3:30 Rewriting as Multiplication by the Reciprocal 3:50 Canceling Common Factors 4:30 Final Simplified Expression 4:50 Example 2: (x² - 4) / (x² - 4x + 4) ÷ (x² + 3x + 2) / (x² - x - 2) 5:50 Factoring All Polynomials (Difference of Squares, Perfect Square Trinomial, Trinomials) 6:50 Identifying Excluded Values 7:50 Rewriting as Multiplication by the Reciprocal 8:20 Canceling Common Factors 9:00 Final Simplified Expression (Resulting in 1) Master dividing rational expressions and confidently navigate domain restrictions! #DividingRationalExpressions #RationalExpressions #Algebra2 #AlgebraicFractions #ExcludedValues #Factoring #MathTutorial #MathHelp * Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) https://www.mariosmathtutoring.com/free-math-videos.html ➡️JOIN the channel as a CHANNEL MEMBER at the ADDITIONAL VIDEOS level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join$

Find the Least Common Multiple of 2 Numbers (LCM)

Elimination Method for Solving Systems of Equations Addition & Subtraction

List the Possible Rational Zeros of a Polynomial (Rational Zero Test)

Simplify Radicals EASILY! (Square Roots & Cube Roots Explained)

Matrix Determinant Hack – 3x3 Solved in Seconds!

Bearing Word Problem Find Distance and Angle Using Law of Sines and Law of Cosines

$How to Simplify Negative Exponents (The Easiest Way) - Laws of Exponents Explained In this algebra lesson, youll quickly master how to simplify expressions involving negative exponents! This is a challenging topic for many students, so were going through 10 clear examples step-by-step, providing tips and tricks to make the process easier. We cover all the essential Laws of Exponents you need to know, including: The Reciprocal Rule: How to move a term with a negative exponent to the other side of the fraction bar to make the exponent positive. The Quotient Rule: Subtracting exponents when dividing terms with the same base. The Product Rule: Adding exponents when multiplying terms with the same base. The Power to a Power Rule: Multiplying exponents. The Zero Exponent Rule: When the entire expression simplifies to one. By the end of this tutorial, you’ll know how to simplify any expression to its final form with only positive exponents. Video Timestamps: 0:00 Introduction 0:31 Example 1: Simplifying Fractions with Negative Exponents (Quotient Rule) 2:11 Example 2: Negative Exponent on a Product (Using the Reciprocal) 3:16 Example 3: Power to a Power with Negative Exponents 4:40 Example 4: Negative Exponent on a Fraction (Taking the Reciprocal of the Base) 5:35 Example 5: Advanced Problem (Challenging Combined Rules) 8:50 Example 6: Simplifying a Fraction with Negative Exponents 9:42 Example 7: Multiplying Monomials (Product Rule) 10:21 Example 8: Combining Power Rules and Reciprocals 11:27 Example 9: The Zero Exponent Rule Explained 11:53 Example 10: Final Complex Problem Review ➡️JOIN the channel as a CHANNEL MEMBER at the ADDITIONAL VIDEOS level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join$

Graph Parabolas Fast - The 3 Most Important Forms Explained

How to Calculate Percentages (2 Easy Methods!)

Marios Math Tutoring |

Solve Exponential Equations (Using Logs, Natural Log, Different Bases) 10 Examples