LOGARITMOS | MATEMÁTICA | Mapa Mental | Quer Que Desenhe

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Logarithms are crucial for the ENEM exam, and they involve exponents expressed as log of a to base b, where a is the logarithm and b is the base. The value of a logarithm is the number needed to raise the base to achieve the result, with rules that the base must be positive and different from 1, and the logarithm must be positive.

Insights

  • Understanding logarithms is essential for the ENEM exam, and they are not as complex as commonly perceived.
  • Logarithms represent exponents in a concise form, with specific rules governing their values and properties, including different bases like 10 and e, as well as operations like product, division, and exponentiation.

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Recent questions

  • What is a logarithm?

    A logarithm is an exponent expressed as log of a to base b, where a is the logarithm and b is the base.

  • What are the rules for logarithms?

    Two rules for logarithms are the base must be positive and different from 1, and the logarithm must be positive.

  • What are the properties of logarithms?

    Logarithmic properties include product, division, exponent, base change, and base-log swap properties.

  • What is a Neperian logarithm?

    A Neperian logarithm has base e (approximately 2.71).

  • What is a decimal logarithm?

    A decimal logarithm has base 10.

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Summary

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Understanding Logarithms for ENEM Exam Success

  • Logarithms are not as difficult as they seem, and they are crucial for the ENEM exam.
  • A logarithm is an exponent, expressed as log of a to base b, where a is the logarithm and b is the base.
  • The value of a logarithm is the number by which the base must be raised to get the result.
  • Log of 1 in base b is 0, log of b in base b is 1, and log of a in base b is a.
  • Two rules for logarithms: the base must be positive and different from 1, and the logarithm must be positive.
  • Decimal logarithm has base 10, Neperian logarithm has base e (approximately 2.71).
  • Logarithmic properties include product, division, exponent, base change, and base-log swap properties.
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