7 3 study guide and intervention logarithms and logarithmic functions


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10-2 Study Guide and Intervention (continued) Logarithms and Logarithmic Functions Logarithmic to exponential inequality Addition Property of Inequalities

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Chapter 6 Section 1 Study Guide and Intervention Logarithms and Logarithmic Functions Logarithmic Functions and Expressions Definition of Logarithm with 

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Study Guide and Intervention Logarithms and Logarithmic Functions Exercises Study Guide and Intervention (continued) Logarithms and Logarithmic Functions

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Logarithmic Functions If b is a positive number other than 1 then logb x = logb y if and only if x = y Solving Logarithmic Equations Solve log 2 21 = 3

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Logarithmic Functions If b is a positive number other than 1 then logb x = logb y if and only if x = y Solving Logarithmic Equations Solve log 2 21 = 3

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Logarithmic Functions If b is a positive number other than 1 then logb x = logb y if and only if x = y Solving Logarithmic Equations Solve log 2 21 = 3

  • What are logarithms and logarithmic functions?

    In Logarithms, the power is raised to some numbers (usually, base number) to get some other number.
    It is an inverse function of exponential function.
    We know that Mathematics and Science constantly deal with the large powers of numbers, logarithms are most important and useful.

  • What is the purpose of studying logarithm?

    Logarithmic scales are useful for quantifying the relative change of a value as opposed to its absolute difference.
    Moreover, because the logarithmic function log(x) grows very slowly for large x, logarithmic scales are used to compress large-scale scientific data.

  • Why do students struggle with logarithms?

    Students struggle greatly with both the concept of logarithms as inverse functions and the processes and procedures needed for working with logarithmic equations.
    Much of this difficulty stems from trouble students have interpreting notation used to express logarithms.

  • The logarithmic functions are the inverses of the exponential functions, that is, functions that "undo'' the exponential functions, just as, for example, the cube root function "undoes'' the cube function: 3√23=2.
    Note that the original function also undoes the inverse function: (3√8)3=8.

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