# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Exponents and Logarithms Questions | Question 25

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Question 25 : If 9x - ($$frac{1}{2}$) – 22x – 2 = 4x – 32x – 3, then x is 1. $\frac{3}{2}$ 2. $\frac{2}{5}$ 3. $\frac{3}{4}$ 4. $\frac{4}{9}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Exponents and Logarithms Given that 9x -$$$frac{1}{2}$) – 22x – 2 = 4x – 32x – 3 ⟹ $\frac{9^x}{9^{\frac{1}{2}}}$ - $\frac{2^{2x}}{2^2}$ = 22x - $\frac{3^{2x}}{3^3}$ ⟹ $\frac{3^{2x}}{3}$ - $\frac{2^{2x}}{4}$ = 22x - $\frac{3^{2x}}{27}$ ⟹ $\frac{$9 × 3^{2x}$ + 3^{2x}}{27}) = $$frac{$4 × 2^{2x}$ + 2^{2x}}{4})
⟹ 32x × $$frac{10}{27}$ = 5 × $\frac{2^{2x}}{4}$ ⟹ 32x × 8 = 22x × 27 ⟹ 32x - 3 = 22x - 3 ⟹ 2x - 3 = 0 ⟹ x = $\frac{3}{2}$ The question is "If 9x -$$$frac{1}{2}$) – 22x – 2 = 4x – 32x – 3, then x is" ##### Hence, the answer is $\frac{3}{2}$ Choice A is the correct answer ###### Prepare for CAT 2023 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2023 Classroom Batches Starting Now! @Gopalapuram ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91) 99626 48484 / 94459 38484
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