Name__________________________
1. On page 152 the section begins with recalling the graphical solution to 10t = 2500 from Section 3.2.
In a similar way, solve 10t = −100 graphically and explain the result. Sketch graphs to support your reasoning.

 

 

2-6. Complete the blanks after reading the blue box on page 152.
      2. If x is a positive number, log x is the _____________ of 10 that gives us x.
      3. This means that 10log x = _______.
      4. For example, because 102.24   ≈ 173.78, then log 173.78 ≈ _________ since
          the number _______ is the exponent we raise 10 to in order to get 173.78.
         (Both can be checked with a graphing calculator.)
      5. In Example 2c, we can write 100.08   ≈ 6.3096 in exponential form: log (________) ≈ _________.
      6. In Example 3f, the expression log(−100) is the number we raise 10 to in order to get −100.
          By your answer to Question 1 on this handout, what is the result?

7. On page 154, the section recalls the graphical solution to the equation 100(2)t = 337,000,000
from Section 3.3 Example 2. This solution corresponded to which date?
o Feb 14, 1998
o March 3, 1998
o August 21, 1998
o August 24, 1998

8. On page 156 the text compares log5x2 and 2log5x. Are these the same for all positive x?
o  Yes
o  No

Use a calculator as you did on page 156 of your text to answer the following.
9. Find to 3 decimal places:
     

101. Find to 3 decimal places:
     

11. Find to 3 decimal places: