AP 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,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If the vector \(\overline{\mathrm{i}}-7 \overline{\mathrm{j}}+2 \overline{\mathrm{k}}\) is along the internal bisector of the angle between the vectors \(\bar{a}\) and \(-2 \bar{i}-\bar{j}+2 \bar{k}\) and the unit vector along \(\bar{a}\) is \(x \bar{i}+y \bar{j}+z \bar{k}\) then \(\mathrm{x}=\)AP EAMCET 2025 Medium
- If the number of diagonals of a regular polygon is 35, then the number of sides of the polygon isAP EAMCET 2025 Medium
- Let \(u\) and \(v\) be two non zero vectors, if \(|u+v|=|u-v|\), thenAP EAMCET 2020 Easy
- In a matrix \(A\), if all the sub matrices or \(k\) orcer are singular and there is one non-singular sub matrix of order r \((r < k)\), then the rank \((\rho)\) of the matrix AAP EAMCET 2023 Easy
- The stationary points of the curve are____AP EAMCET 2021 Easy
- If \(\mathbf{a}\) and \(\mathbf{b}\) are two unit vectors and \(\theta\) is the angle between them, then the unit vector along the angular bisector of \(\mathbf{a}\) and \(\mathbf{b}\) is given byAP EAMCET 2020 Easy
More PYQs from AP EAMCET
- The derivate of \(y=\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)\) is equal toAP EAMCET 2020 Easy
- \(a^n+b^n\) is divisible by if \(n\) is any odd positive integer.AP EAMCET 2020 Easy
- Resonance frequency of \(L-C-R\) series AC circuit is \(f_0\). Now inductance is reduced to \(\frac{1}{4}\) times and capacitance is increased to 16 times, then the resonance frequency becomes.AP EAMCET 2022 Easy
- If \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-4 x+5=0\), then the quadratic equation whose roots are \(\alpha^2+\beta\) and \(\alpha+\beta^2\) isAP EAMCET 2018 Medium
- How many numbers between 10 and 10000 can be formed by using the digits \(1,2,3,4,5\), if no digit is repeated in any number?AP EAMCET 2022 Medium
- If \(\vec{f}=\hat{i}+\hat{j}+\hat{k}\) and \(\vec{g}=2 \hat{i}-\hat{j}+3 \hat{k}\) then the projection vector of \(\vec{f}\) on \(\vec{g}\) isAP EAMCET 2024 Easy