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24 August, 03:40

What logarithmic function represents the data in the table?.

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  1. 24 August, 07:23
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    x | f (x)

    25 | 2

    125 | 3

    625 | 4

    From my research, the above table belongs to the question. The values in x show increasing exponential values of 5, where:

    5^2 = 25

    5^3 = 125

    5^4 = 625

    As for the case of f (x), they are the values of the powers. So the logarithmic function that would explain the values of x and f (x) would be:

    A base-5 function:

    f (x) = log5 x
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