A nice exponential equation | How to Solve 4^x + 4^x = 16 | Step-by-Step Solution | Math Olympiad

A nice exponential equation | How to Solve 4^x + 4^x = 16 | Step-by-Step Solution | Math Olympiad
In this video, we'll break down how to solve the exponential equation 4^x + 4^x = 16. Watch as I guide you step-by-step through the process of solving for x, simplify the equation, and find the correct solution. This video is perfect for anyone looking to improve their skills in solving exponential equations, understanding indices and factorization, or preparing for exams!
We'll also explore the rules of exponents (indices), how to simplify like terms, and the role of logarithms when solving similar exponential problems. Additionally, we'll cover factorization techniques to help simplify expressions, and how to apply logarithms to solve equations with exponents. Whether you're a beginner or just need a refresher, this video has you covered!
🔍 Timestamps:
0:00 - Introduction
0:13 - Understanding the problem
0:30 - Factorization and simplifying terms
1:58 - Simplifying the equation using indices
3:05 - Solving for x using logarithms (optional)
4:58 - Final Answer
5:15 - Check that final answer is correct
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