10. Find to 3 decimal places:
Name______________________
1. On page 144 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 144.
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 146, the section recalls the graphical solution to the equation
100(2)t = 3337,000,000
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. Just as you solved 100(2)t = 3337,000,000 graphically,
so you can solve
2300(1.12)t = 1,000,000 which gives the age of my son when his
account reaches 1 million dollars?
How old will he be? _______________
9. On page 148 the text compares log5x2 and 2 log5x.
Are these the same for all positive x?
o Yes
o No
Use a calculator as you did on page 148 of your text to answer the following.
10. Find to 3 decimal places:
11. Find to 3 decimal places:
12. Find to 3 decimal places:
