CA FoundationLogarithms - properties and identities
If log((a+b)/3) = ½(log a + log b), what is the value of a/b + b/a?
Veer
1. Right side me log rule lagao: \(\frac{1}{2}(\log a + \log b)\) ban jayega \(\log(\sqrt{ab})\). 2. Dono taraf se \(\log \) hata do, toh bachega \(\frac{a+b}{3} = \sqrt{ab}\). 3. Ab dono side square karo, toh \((a+b)^2 = 9ab\) aa jayega. 4. Formula kholo: \(a^2 + b^2 + 2ab = 9ab\), yani \(a^2 + b^2 = 7ab\). 5. Bas ab poore equation ko \(ab\) se divide kar do, seedha \(\frac{a}{b} + \frac{b}{a} = 7\) mil jayega
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3 answers 15 Nov 2026
