1. Lesson 3

1.3. Explore 2

Mathematics 30-1 Module 6

Module 6: Exponents and Logarithms

 

Try This 2

 

Complete a table like this one.

 

Initial Value

Value in Exponential Form

Value in Logarithmic Form

1000

1000 = 10?

log10 1000 = ____

100

 

100 = 10?

 

log10 100 = ____

10 000

 

10 000 = 10?

 

log10 10 000 = ____

81

81 = 9?

log9 81 = ____

125

125 = 5?

log5 125 = _____

32

32 = 2?

log2 32 = _____

 

course folder Save your responses in your course folder.

 

Share 2

 

With a partner or group, discuss the following questions based on Try This 2.

  1. Describe the patterns you see in Try This 2.
  2. Summarize your discussion by defining a logarithm or by describing the value of a logarithm.

course folder If required, save a record of your discussion in your course folder.

Depending on the type of calculator you have, the log button on your calculator might only work for base 10. Use the pattern you observed in the row above to find the solution without using the log button on your calculator.
Use the log button on your calculator and calculate log 10.
Base 10 to what exponent would equal 1000?