# CAT 2017 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Exponents and Logarithms Questions | Question 23

This is a question from Logarithms. Logarithms is a favorite in CAT Exam and appears more often than expected in the CAT Quantitative Aptitude section in the CAT Exam. With every extra hour you log in for this topic, it becomes exponentially simpler.

Question 23 : The value of log0.008√5 + log√381 – 7 is equal to :

1. $$frac{1}{3}$ 2. $\frac{2}{3}$ 3. $\frac{5}{6}$ 4. $\frac{7}{6}$ ## 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 Here we have to find the value of log0.008 √5 + log√3 81 – 7. ⟹ log0.008 √5 + log√3 81 – 7 log0.008 √5 can be written in the terms of five and log√3 81 can be written in the terms of 3. where √5 = 5$^\frac{1}{2}$ ⟹ 0.008 = $\frac{2^3}{10^3}$ = 5-3 ⟹ log0.008 √5 + log√3 81 – 7 ⟹ $\frac{log_5 √5}{log_5 0.008}$ + $\frac{log_3 81}{log_3 √3}$ - 7 ⟹ $\frac{\frac{-1}{2}}{-3}$ + $\frac{4}{\frac{1}{2}}$ - 7 ⟹ $\frac{-1}{6}$ + 1 = $\frac{5}{6}$ Hence the value of log0.008√5 + log√381 – 7 = $\frac{5}{6}$ The question is "The value of log0.008√5 + log√381 – 7 is equal to :" ##### Hence, the answer is $\frac{5}{6}$ Choice C 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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