WBJEE · Maths · Basic of Mathematics
\(\text {If } \log _{0.2}(x-1)>\log _{0.04}(x+5), \text { then }\)
- A \(-1 < x < 4\)
- B \(2 < x < 3\)
- C \(1 < x < 4\)
- D \(1 < x < 3\)
Answer & Solution
Correct Answer
(C) \(1 < x < 4\)
Step-by-step Solution
Detailed explanation
We have, \(\log _{0.2}(x-1)>\log _{0.04}(x+5)\) \(\Rightarrow \quad \log _{0.2}(x-1)>\log _{0.2^{2}}(x+5)\) \(\Rightarrow \quad \log _{0.2}(x-1)>\frac{1}{2} \log _{0.2}(x+5)\) \(\Rightarrow \quad 2 \log _{0.2}(x-1)>\log _{0.2}(x+5)\)…
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
- \(\left(2^{3 \mathrm{n}}-1\right)\) will be divisible by \((\forall \mathrm{n} \in \mathrm{N})\)WBJEE 2010 Hard
- The area of the region \(\left\{(x, y): x^{2}+y^{2} \leq 1 \leq x+y\right\}\) isWBJEE 2020 Medium
- For \(0 \leq P, Q \leq \frac{\pi}{2},\) if \(\sin P+\cos Q=2\), then the
value of \(\tan \left(\frac{\vec{P}+Q}{2}\right)\) is equal toWBJEE 2013 Medium - For different values of \(\alpha\), the locus of the point of intersection of the two straight lines \(\sqrt{3} x-y-4 \sqrt{3} \alpha=0\) and \(\sqrt{3} \alpha x+\alpha y-4 \sqrt{3}=0\) isWBJEE 2010 Hard
- The eccentricity of the hyperbola \(4 x^2-9 y^2=36\) isWBJEE 2011 Easy
- Rolle's theorem is applicable in the interval [-2,2] for the functionWBJEE 2012 Easy
More PYQs from WBJEE
- If the electron in a hydrogen atom jumps from an orbit with level \(\mathrm{n}_1=2\) to an orbit with level \(\mathrm{n}_2=1\) the emitted radiation has a wavelength given byWBJEE 2009 Easy
- Let \(P\) and \(T\) be the subsets of \(x\), \(y\) -plane defined by \(P=\left\{(x, y): x>0, y>0\right.\) and \(\left.x^{2}+y^{2}=1\right\}\), \(T=\left\{(x, y): x>0, y>0\right.\) and \(\left.x^{8}+y^{8} < 1\right\}\). Then, \(P \cap T\) isWBJEE 2019 Medium
- A ball falls from a height \(h\) upon a fixed horizontal floor. The co-efficient of restitution for the collision between the ball and the floor is 'e'. The total distance covered by the ball before coming to rest is [neglect the air resistance]WBJEE 2025 Medium
- A steel and a brass wire, each of length \(50 \mathrm{~cm}\) and cross-sectional area \(0.005 \mathrm{~cm}^{2}\) hang from a ceiling and are \(15 \mathrm{~cm}\) apart. Lower ends of the wires are attached to a light horizontal bar. A suitable downward load is applied to the bar so that each of the wires extends in length by \(0.1 \mathrm{~cm}\). At what distance from the steel wire the load must be applied? [Young's modulus of steel is \(2 \times 10^{12}\) dynes \(/ \mathrm{cm}^{2}\) and that of brass is \(1 \times 10^{12}\) dynes \(\left./ \mathrm{cm}^{2}\right]\)WBJEE 2020 Medium
- If \(P=\left(\begin{array}{rrr}2 & -2 & -4 \\ -1 & 3 & 4 \\ 1 & -2 & -3\end{array}\right),\) then \(P^{5}\) is equal toWBJEE 2013 Medium
- A small mass \(m\), attached to one end of a spring with a negligible mass and an unstretched length \(L\), executes virtual oscillation with angular frequency \(\omega_{0}\). When the mass is rotated with an angular speed \(\omega\) by holding the other end of the spring at a fixed point, the mass moves uniformly in a circular path in a horizontal plane. Then the increase in length of the spring during the rotation isWBJEE 2013 Hard