# CAT 2019 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Quants Questions | Question 1

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Question 1 : The real root of the equation 26x + 23x+2 - 21 = 0 is

1. $$frac{log_{2}3}{3}$ 2. log29 3. $\frac{log_{2}7}{3}$ 4. log227 ## 🚀 Introductory Offer! Buy CAT'21 95-99 Booster Course for just Rs. 4500 Valid until 19th Sep #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer Given equation - 26x + 23x+2 - 21 = 0 The idea is to convert the above equation to a quadratic one. So, 26x = Let y = Now, 26x + 23x+2 - 21 = 0 can be rewritten as + 22.23x - 21 = 0 y2 + 4y - 21 = 0 Solving the above quadratic equation,$y + 7) (y - 3) = 0
So, y = -7 or +3
y = => y should always be positive
Therefore, y = -7 is not a valid solution. So, only y = +3 exists. = 3
Taking log on both sides, = 3x = x = , which is the real solution to the given equation

The question is "The real root of the equation 26x + 23x+2 - 21 = 0 is"

##### Hence, the answer is $$frac{log_{2}3}{3}$ Choice A is the correct answer. ###### 🚀 Introductory Offer! Buy CAT'21 95-99 Booster Course for just Rs. 4500. Valid until 19th Sep ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### 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? Phone:$91) 44 4505 8484
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