🔥 Genius Logarithm Trick! Solve This in 10 Min — JEE Main & Olympiad Must-See
Автор: maths&science by iitian
Загружено: 2025-12-19
Просмотров: 44
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If you want to know If logb^c( base a)+logc^a(base b) + loga^b(base c)=0, ab=ac=1, and to convert logs to natural logs and to fing ln (abc)=?. You are at the right place.
This is a video made by an IITian for 🔥 Genius Logarithm Trick! Solve This in 10 Min — JEE Main & Olympiad Must-See.
🎯 Unlock the Power of Symmetry & Logarithmic Identities!
In this video, an IIT Bombay alumni walks you through a deceptively simple yet deeply insightful problem that bridges JEE Main, CBSE Boards, and Olympiad-level thinking:
🔍 You’ll learn:
✅ How to convert multi-base logarithms using change-of-base & exponent rules
✅ The critical importance of domain checks
✅ A step-by-step problem-solving mindset — not just tricks — that works across JEE, CBSE, and Olympiads
💡 Why this problem matters:
It tests core conceptual clarity in logs, algebra, and functional constraints — exactly the kind of question that appears in:
JEE Main (2025–26 trend: elegant multi-concept problems)
CBSE Class 12 Sample Papers (Log & Functions unit)
RMO/IOQM/KVPY shortlists (symmetry + functional equations)
📌 Answer:
ln(abc)=-(1/2)(ln2)
— and yes, it’s the same even if the condition ab=ac=1! (We explain why 🤯)
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