In this video tutorial, we delve into a complex mathematical problem that is a part of the Math Olympiad. The problem revolves around solving an equation related to exponentiation. The equation in question is as follows 3^(sqrt(x) / 2) = 3^(1 / sqrt(x). The ultimate goal is to determine the value of x that satisfies this equation. Let's break down the solution step by step
The equation is presented as 3^(sqrt(x) / 2) = 3^(1 / sqrt(x).
To solve for x, the video simplifies the equation.
The first step involves rewriting the equation as 3^(sqrt(x)) / 2 = 3^(1 / sqrt(x).
Using the property that a^(n) = a^(m) implies n = m, the video establishes that sqrt(x) / 2 = 1 / sqrt(x).
Now, we cross multiply to obtain sqrt(x) * sqrt(x) = 2.
This leads to the equation sqrt(x)^2 = 2, and subsequently, x = 2.
Therefore, the value of x that satisfies the given equation is x = 2.
In summary, this video provides a clear and concise solution to a challenging math problem from the Math Olympiad. By applying mathematical properties and simplifying the equation, the value of x is found to be 2, which satisfies the equation 3^(sqrt(x) / 2) = 3^(1 / sqrt(x).
All rights reserved. Unauthorized reproduction, in whole or in part is strictly prohibited.
Discover The Essential Steps For Acquiring An Airplane In This Informative Video Series. Part 1 Begins With An Introduction And Guidance On Defining Your
Unlock The Secrets To Facilitating Mastermind Groups That Foster Personal And Professional Growth. Learn To Select The Right Members, Establish High
Discover The Inspiring Journey Of Kavi, A Restless Scholar, Who Learns The Art Of Emptying His Mind From Buddhist Master Ananda By The River. Explore The
Discover Practical Strategies To Detach From Overthinking And Anxiety. Explore Mindfulness, Challenging Negative Thoughts, And Seeking Support For A
Learn How To Leverage GCash With PayPal, Enabling Seamless Transactions And Payments. Discover The Methods To Add Funds To Your PayPal Account. Don't
Learn How To Scan Documents Using A Canon Printer With This Step-by-step Guide. Make Scanning A Breeze With Your Canon Printer Today! This Article
Learn From Dr. Rasya Dixit, A Seasoned Dermatologist, About The Causes Of Open Pores And Effective Strategies To Reduce Them. Discover Why Temporary
Discover A Step-by-step Guide To Bring Back The Traditional Safari Look On Your IPhone Running IOS 15. Customize Tab Settings With Ease And Switch
Learn How To Effortlessly Set Up Your Google Pixel Watch In This Step-by-step Guide. Connect It To Your Phone, Customize Your Settings, And Enjoy Its
Struggling With Facebook Messenger Not Opening? This Comprehensive Guide Offers Solutions, Including Clearing Cache, Updating The App, And Using A Secure
Learn How To Easily Create A Local Disk (Drive D) On Your Windows 10 Laptop Using Mini Tool Partition Wizard. Follow These Simple Steps To Partition Your
Discover How To Make Kachumbari, A Popular East African Salad Often Served With Street Food. Follow Our Easy Recipe For A Delicious Kenyan-style
Explore The Profound Teachings Of Apostle Joshua Selman On Defeating The Devil Through The Power Of Scripture, Understanding Satan's Access Points, And
Learn How To Alleviate Front-of-hip Pain With Expert Guidance. Discover Three Exercises For Improved Hip Mobility And Relief From Discomfort. This
Learn How To Measure Your Space Accurately Before Buying A Sofa Or Sectional. Ensure The Perfect Fit For Your Home. Get Expert Tips On Dimensions,
Learn To Recognize Emotional Unavailability In Your Partner With These 13 Revealing Signs. Protect Yourself From Toxic Relationships And Find True Love.
Discover The Secrets Of Reading People Like A Book In "How To Read People Like A Book" By James W. Williams. Gain The Skills To Understand Body Language,
Learn How To Cancel Your Hulu App Subscription With This Step-by-step Guide. Access Your Device Settings, Manage Your Subscriptions, And Avoid Automatic
Explore The Concept Of Present Bias, Also Known As Here-and-now Bias, And Its Impact On Decision-making. Discover How Emotions, Scarcity, And Cognitive
Discover The UCI Method For Mobile Hardness Testing. Learn How To Measure Hardness Non-destructively Using Ultrasonic Contact Impedance And A Vickers
Learn How To Perfect Your Vocal Recordings Using FL Studio's Newtone Plugin. This Tutorial Covers Pitch Correction, Timing Adjustments, And Advanced
Discover Why Forgiveness Is Crucial For Personal Growth And Spiritual Well-being. Learn The True Meaning Of Forgiveness, Its Transformative Power, And
Improve The Quality And Consistency Of Your Backhand Flick Serve In Badminton With Expert Guidance. Learn Essential Techniques For Grip, Racket
Learn The Essential Strategies And Tips To Prioritize Tasks And Goals Effectively. Discover How Getting Your Priorities Right Can Lead To Success And
Discover The Transformative Power Of Embracing Your True Self, Shedding Limiting Beliefs, And Living A Life Of Abundance, Joy, And Impact. Learn How To
Discover Louis Fernandez's Compelling Journey From Being An Infantry Ranger And A Bronze Star Recipient To Becoming A Successful Author And Business
Learn Expert Advice On Handling Your Ex's Calls And Texts Strategically To Increase Your Chances Of Rekindling Your Relationship. Discover The Power Of
Learn The Essential Steps To Properly Decontaminate A Spray-rig To Prevent Crop Damage. Follow Our Expert Guide For A Thorough Cleaning Process.
Discover The Secrets Of Transitioning From 70-18 Stick Electrodes To T-8 Self-shield Flex Cord Wire For Welding On The Jobsite. Boost Productivity,
Explore The World Of Live Dealer Baccarat Roadmaps, Their Historical Significance, And Various Types. Learn How To Leverage These Tools To Make More
Discover The Secret To Feeling Fuller, Reducing Calorie Intake, And Maintaining A Healthy Body In Just 30 Days. Learn How To Eat High-quality Protein And
Planning A Summer Trip To Rome? Learn What To Pack, Including Comfortable Shoes, A Sun-protective Hat, And A Versatile Scarf. Discover How To Dress When
Learn How To Edit Epicor Base Reports, Including Sales Order Forms, With Sahal's Comprehensive Tutorial. Discover How To Identify Report IDs, Customize