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

12-149.

Consider the table below for the function

*f*(*x*) = log. Homework Help ✎_{b }xComplete 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

Extend the table to include six more

*x*-values of your choice. Show how you calculated the*f*(*x*) values for each.Find the base of this logarithmic function and explain how you found it.

Use the logarithm rules to calculate the missing values.

log* _{b}* 4 = log

*(2*

_{b}^{2}) = 2(log

*2)*

_{b}log

*4 = 0.5404*

_{b}See part (a).

When does log_{b}*x* = 1? If you cannot find this,

when does log_{b}*x* become greater than one?