# CAT 2017 Question Paper | Quants Slot 1

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

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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. $\frac{7}{6}$ ## 🌾 Makar Sankranti Discount! 5,000 off on CAT Online courses Valid until 16th Jan #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available 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 ###### 🌾 Makar Sankranti Discount! 5,000 off on CAT Online courses. Valid until 16th Jan ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in ChennaiPrices slashed by Rs 4000/- Attend a Demo Class ##### 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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