CAT Exponents and Logarithms Questions are one of the most commonly tested topics in CAT exam. Questions from Exponents and Logarithms have appeared consistently in the CAT exam for the last several years. Questions from Exponents and Logarithms range from very easy to very hard. The basic concept is very easy, learn the concepts and practice a wide range of CAT Questions from 2IIM. One can usually expect 2-3 questions from Logarithms and Exponents in the CAT exam. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.
If log_{2}X + log_{4}X = log_{0.25}√6 and x > 0, then x is
log_{9} (3log_{2} (1 + log_{3} (1 + 2log_{2}x))) = \\frac{1}{2}\\). Find x.
If 2^{2x+4} – 17 × 2^{x+1} = –4, then which of the following is true?
If log_{12}27 = a, log_{9}16 = b, find log_{8}108.
\\frac{log_3(x-3)}{log_3(x-5)}\\) < 0. If a, b are integers such that x = a, and x = b satisfy this inequation, find the maximum possible value of a – b.
log_{5}x = a (This should be read as log X to the base 5 equals a) log_{20}x = b. What is log_{x}10?
log_{3}x + log_{x}3 = \\frac{17}{4}\\). Find x.
log_{x}y + log_{y}x^{2} = 3. Find log_{x}y^{3}.
If log_{2} 4 * log_{4} 8 * log_{8} 16 * ……………n^{th} term = 49, what is the value of n?
If 3^{3 + 6 + 9 + ……… 3x } = (0.\\overline{037}\\))^{-66}, what is the value of x?
x, y, z are 3 integers in a geometric sequence such that y - x is a perfect cube.
Given, log_{36}x^{2} + log_{6}√y + log_{216}y^{1/2}z = 6. Find the value of x + y + z.
10^{log(3 - 10logy)} = log_{2}(9 - 2^{y}), Solve for y.
4^{6+12+18+24+…+6x} = (0.0625)^{-84}, what is the value of x?
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