Question
Download Solution PDFLet x >1, y >1, z >1 be in GP. Then \(\rm \frac{1}{1+ln x}, \frac{1}{1+lny}, \frac{1}{1+\ln z}\) are
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given,
x, y, z are in GP
Thus,
⇒ y2 =xz
⇒ \(2lny = lnx + lnz\)
lnx, ln y and lnz are in AP
⇒ (1 + lnx), (1 + lny) and (1 + lnz) are in AP
⇒ \(\frac{1}{lnx}, \frac{1}{lny}, \frac{1}{lnz}\) are in HP
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