The question is from Log and Exponents. This questions is about Logarithm - Different bases. We need to find out the value of log in terms of a and b based on given another two log values. 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 6: log5x = a (This should be read as log X to the base 5 equals a) log20x = b. What is logx10?
Given, log5x = a
log20x = b
logx5 = \\frac{1}{a}\\)
logx20 = \\frac{1}{b}\\)
logx\\frac{100}{5}\\) = \\frac{1}{b}\\)
logx100 - logn5 = \\frac{1}{b}\\)
=> 2logx10 - \\frac{1}{a}\\) = \\frac{1}{b}\\)
logx10 = \\frac{1}{2}\\)(\\frac{1}{a}\\) + \\frac{1}{b}\\))
logx10 = \\frac{a + b}{2ab}\\)
The question is "What is logx10?"
Choice A is the correct answer.
Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.
Privacy Policy | Terms & Conditions
CAT® (Common Admission Test) is a registered trademark of the Indian
Institutes of Management. This website is not endorsed or approved by IIMs.
2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi
Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093
Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com