TS EAMCET · Maths · Basic of Mathematics
\(\mathbb{C f} a^x=b^y=c^z=d^w\), the value \(\alpha, x\left(\frac{1}{y}+\frac{1}{z}+\frac{1}{w}\right)\) is
- A \(\log _a(a b c)\)
- B \(\log _e(k c d)\)
- C \(\log _b(c d a)\)
- D \(\log _c(d a b)\)
Answer & Solution
Correct Answer
(B) \(\log _e(k c d)\)
Step-by-step Solution
Detailed explanation
Given, \(a^x=b^y=c^z=d^w\) \(\begin{aligned} & \Rightarrow x=y \log _a b=z \log _a c=w \log _a d \\ & \Rightarrow y=\frac{x}{\log _a b}, z=\frac{x}{\log _a c}, w=\frac{x}{\log _a d}\end{aligned}\) Now,…
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