Nice Exponent Math Simplification | Find the Value of X

2^{x+1} + 2^{x} = 24 Step-by-step solution, explained in full, with a final verification step. English voiceover. No background music. CHAPTERS: 0:00 Intro — The Problem 0:30 Step 1 — Split 2^(x+1) 1:12 Common Mistake — 2^(x+1) ≠ 2^x + 1 1:50 Step 2 — Combine Like Terms 2:24 Step 3 — Same Base, Same Exponent 2:47 Common Mistake — 2^x + 2^x ≠ 2^(2x) 3:28 The Three Moves — Recap 4:03 What If the Bases Don't Match? 4:41 Speed Drill — Try One Fast 5:13 Step 4 — VERIFICATION 5:39 Bonus Example — Same Trick 6:09 Answer + Your Turn COMMENT QUESTION: If 3^(x+1) + 3^x = 108, what is x? Write your answer in the comments.