# CAT 2019 Question Paper | Quants Slot 2

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

Are you one of the CAT aspirants who is not content with their CAT preparation online? Do you lack confidence when somebody asks you about your CAT preparation? One important thing that could be missing in your schedule could be CAT previous year paper. These are a vital component and need to be covered by all the people preparing for the CAT exam. Solving questions from CAT previous year paper will give you a glimpse of what to expect in the CAT Question Paper and in turn be ready for any elements of surprises that you find in your exam. Dont wait for you to finish the CAT Syllabus for proceeding with these, solve one question from Logarithms taken from CAT 2019 Question Paper right now without looking at the solutions. See if you can solve it correctly!

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 ## 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 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. ###### 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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