# CAT Quantitative Aptitude Questions | CAT Logarithms and Exponents

###### CAT Questions | Logarithms and Exponents | Exponents - Quadratic Equations CAT Questions

The question is from Log and Exponents. This is about Quadratic Equations. Our task is to find out the correct statements. With every extra hour you log in for this topic, it becomes exponentially simpler. CAT Logarithms and Exponents is a favorite in CAT Exam, and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam

Question 3: If 22x+4 – 17 × 2x+1 = –4, then which of the following is true?

1. x is a positive value
2. x is a negative value
3. x can be either a positive value or a negative value
4. None of these

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##### Method of solving this CAT Question from Logs and Exponents: Carving a quadratic equations from an Exponents question is very useful.

2x+4 – 17 * 2x+1 = – 4
=> 2x+1 = y
22x+2 = y2
22(22x+2) – 17 * 2x+1 = –4
4y2 – 17y + 4 = 0
4y2 – 16y – y + 4 = 0
4y (y – 4) – 1 (y – 4) = 0
y = $$frac{1}{4}\\$ or 4 2x+1 = $\frac{1}{4}\\$ or 4 => x + 1 = 2 or – 2 x = 1 or – 3 The question is "which of the following is true?" ##### Hence, the answer is "x can be either a positive value or a negative value". Choice C is the correct answer. ###### 🎉Get Upto ₹10,000 off on our CAT 23/24 courses.🎉Flat ₹6000 off on IPM courses.Valid till 30th September 2023! ###### 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! ## CAT Preparation Online | CAT Arithmetic Videos On YouTube #### Other useful sources for Arithmetic Question | Logarithms and Exponents Sample Questions ##### 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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