Logarithm in ENEM Solved questions

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Escola de Números com Thyago Araujo

Published on Jul 20, 2021
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Are you able to solve questions about logarithms and logarithmic functions in ENEM? Do you want to learn how to solve questions about logarithms? In this Math video lesson, you will learn how to solve questions about logarithmic functions that have already appeared in ENEM, in previous exams, and you can download the PDF material to practice in the last link in the description. This content is studied in the 1st year of high school. Don't forget, this subject is a good choice for ENEM. Study with me and be successful in Math. ONLINE MATHEMATICS PLATFORM: https://thyagoaraujo.com/ Solved questions from previous ENEM exams 01. (ENEM-2021) Zipf's Law, named after the American linguist George Zipf, is an empirical law that relates the frequency (f) of a word in a given text with its ranking (r). It is given by f = A/rB The word's ranking is its position when ordering the words in order of frequency. That is, r = 1 for the most frequent word, r = 2 for the second most frequent word and so on, A and B are positive constants. Available at: http://klein.sbm.org.br. Accessed on: August 12, 2020 (adapted). Based on the values ​​of X = log (r) and Y = log (f), it is possible to estimate values ​​for A and B. In the hypothetical case where the law is verified exactly, the relationship between Y and X is a) Y = log (A) - B • X b) Y = log(A)/X + log (B) c) Y = log (A)/B – X d) Y = log (A)/B•X e) Y = log(A)/XB 02. (ENEM-2018) With advances in computer science, we are close to the time when the number of transistors in a personal computer processor will be of the same order of magnitude as the number of neurons in a human brain, which is of the order of 100 billion. One of the determining quantities for the performance of a processor is the transistor density, which is the number of transistors per square centimeter. In 1986, a company manufactured a processor containing 100,000 transistors distributed over 0.25 cm2 of area. Since then, the number of transistors per square centimeter that can be placed in a processor has doubled every two years (Moore's Law). Available at: www.pocket-lint.com. Accessed on: December 1, 2017 (adapted). Consider 0.30 as an approximation for log102. In what year did or will the company reach the density of 100 billion transistors? a) 1999 b) 2002 c) 2022 d) 2026 e) 2146 03. (ENEM-2019/PPL) A gardener grows ornamental plants and puts them up for sale when they reach 30 centimeters in height. This gardener studied the growth of his plants, as a function of time, and deduced a formula that calculates height as a function of time, from the moment the plant sprouts from the ground until the moment it reaches its maximum height of 40 centimeters. The formula is h = 5 log2 (t + 1), where t is the time in days and h is the height of the plant in centimeters. From the moment one of these plants is put up for sale, how long will it take, in days, for it to reach its maximum height? a) 63 b) 96 c) 128 d) 192 e) 255 --- Follow us on social media: ► PLATFORM (Website): https://thyagoaraujo.com/cursos/ ► Instagram: / escoladenumeros ► Instagram: / professorthyagoaraujo ► Instagram: / prof.raissacosta ► Instagram: / danieloliveira_qui ► Instagram: / andrefisica ► Twitter: / escoladenumeros CONTACT EMAIL: [email protected] Here on the channel you will find several free video classes in Mathematics, Chemistry, Physics and Biology for elementary and high school. SUBSCRIBE TO THE CHANNEL HERE: https://www.youtube.com/c/EscoladeNum... QUESTION LISTS: https://thyagoaraujo.com/listas-de-qu... CREATED BY MASTER PROFESSOR IN MATHEMATICS THYAGO ARAUJO FERREIRA #Mathematics #PaesUema2021 #ENEM2021

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