Study Guide - Chapter 6
* means the problem is straight from the text.
- Sketch the graph of an exponential and logarithmic function on the same coordinate system.
Look at problems 35 - 38 in section 6.2.
- Rewrite an exponential equation in logarithmic form (look at 31-32 in the review*) and a
logarithmic equation in exponential form. Two parts.
- Evaluate the given expression without a calculator. Actually, you can use a calculator, I just
want exact answers. Five parts. Look at problems 33 - 39 in the review* and problems 13 -
16 in section 6.4.
- Evaluate each logarithm using the change of base formula. Round answers to four decimal
places. Two parts. Look at problems 41 - 44 in the review* for one of the two parts.
- Use properties of logarithms to write the expression as the sum, difference, and/or multiple of
logarithms. Three parts. Look at problems 45 - 50 in the review*.
- Use properties of logarithms to write the expressions as the logarithm of a single quantity.
Three parts. Look at problems 51 - 56 in the review*.
- Approximate the logarithm using properties of logarithms and the approximations of key
logarithms given. Then find the base used. Three parts. Look at problems 61 - 64 in the
review. The logarithms are the same as in 61 - 64, but the base is different than what the book
- Solve each equation. Round the answers to three decimal places. Five parts. Look at
problems 67 - 76 in the review*.
- Find the exponential function which passes through the given points. Look at problems 77 -
80 in the review.
- Application problem involving exponentials. Look at problems 19 - 22 in the review. Your
problem is to find the model, not evaluate it at a given time.
- Application problem involving logarithms. Look at problems 49 - 50 in section 6.5. Hint: The
percent change (increase or decrease) is the change (New-Old) divided by the Old times 100%.
A change from 50 to 60 is a (60-50)/50x100%=20% increase.
- Find a logistics curve. Look at problem 57 in section 1; 41, 42, 44 in section 5; 82 in the
chapter review. Your problem will be to find the model, not to evaluate it at certain times.
Be sure to bring your calculator to the exam. Graphing calculators are allowed on this exam.
Problems 9 - 12 may be worked in groups of up to size 3.