CAT Quantitative Aptitude Questions | CAT Logarithms and Exponents

CAT Questions | Logarithms and Exponents | Exponents - Quadratic Equations

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. Best CAT Online Coaching Try upto 40 hours for free Learn from the best! Already have an Account? CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar Best CAT Coaching in Chennai 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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