Module 6: Exponents and Logarithms

 

In Try This 3 you may have found that  could be changed to exponential form and written as follows:

 

 

 

You may have found that logx 49 = 2 could be changed to exponential form and written as follows:

 

 

 

The base of a logarithm is restricted to values greater than zero, so x = −7 is not an acceptable answer. This means x = 7.



textbook

If you would like to see more examples of solving expressions involving logarithms, read “Example 2” on page 375 of the textbook.

 

Self-Check 2
  1. Complete questions 6, 7, and 12.c. on pages 380 and 381 of the textbook. Answer
  2. Determine the value of x in the equation Answer
Try This 4

 

You have evaluated logarithms when the answer is a rational number. Not all logarithms will equal a rational number. In this activity you will estimate logarithms for which the value is not a rational number.

 

Estimate, without using the log functionality of your calculator, the value log2 10 to the nearest tenth. Explain your process.

 

course folder Save your responses in your course folder.

What is the value of log2 8? What is the value of log2 16?