Tuesday 1 April class

Topics:

• Transformations of the basic graphs and   for b>1, and finding the domain for the logarithmic function (Example 13.13)

• Using the properties of logarithms to simplify expressions containing logarithms (Example 14.2)

• Using the properties of logarithms to expand a logarithm (Example 14.3)

• Solving exponential equations when both sides can be written as a power of the same base (Example 14.5(a-d))

• Solving exponential equations using logarithms (We generally use the natural logarithm for this: see Example 14.6a) – more next time.

Be very careful, when working with logarithms, that you use the properties in the list I handed out. A common error is to think that a quotient of logarithms can be simplified: it cannot. So, for example, there is no way to simplify log(20)/log(4), and it certainly is not equal to log(5).

Homework:

• Study the definition and the properties of logarithms: review the Examples, to see how the properties are being used. You should have the list of properties in front of you as you work the problems.

• Do the assigned parts of Exercises 13.4 and 13.6, and do the assigned problems in Session 14, except SKIP Exercise 14.4 for now. Also, in Exercise 14.5 do (a-c) only for now.

• Do the WeBWorK: start early! Due by tomorrow 11 PM.

• Do the Warm-Up – also due by tomorrow 11 PM.