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Home > A2C > Chapter 12 > Lesson 12.3.2 > Problem 12-149

12-149.
  1. Consider the table below for the function f(x) = logb x. Homework Help ✎

    1. Complete the table.

      x

      f(x)

      1

      2

      0.2702

      3

      0.4283

      4

      5

      0.6275

      6

      7

      0.7587

      8

      9

      10

      11

      0.9349

    2. Extend the table to include six more x-values of your choice. Show how you calculated the f(x) values for each.

    3. Find the base of this logarithmic function and explain how you found it.

Use the logarithm rules to calculate the missing values.

logb 4 = logb (22) = 2(logb 2)
logb 4 = 0.5404

See part (a).

When does logb x = 1? If you cannot find this,
when does logb x become greater than one?