1. Flashback
An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?
A.   4.2 B. 12.6 C. 14.0 D.  E. 21.0
If n = 8 and 16*2m = 4n-8, then m = ?
F. –4 G. –2 H.   0 J.   1 K.   8

2. He wears glasses during math…
Joke of the day
He wears glasses during math… 

3. because it improves division.

4. What is the inverse of exponential functions?
Base a: alogax = x logaax = x for a>1, x>0
Base e: eln x = x ln ex = x for x>0

5. Let’s use it
ln x = 3t + 5 e2x = 10

6. Properties of Logarithms
Product Rule: logaxy = logax + logay
Quotient Rule: loga(x/y) = logax - logay
Power Rule: logaxy = ylogax
Change of base: logax = ln x/ln a

7. Examples See worksheet.
log (3 *2^3) = log 3 + log 2^3 = log log 2
Log u4/v = Log u4 – log v = 4 log u – log v
4log log 8 = log 34 – log 84 = log (34 / 84)

8. Example
P. 42 example 6
Compound interest formula: A = P(1+r)t

9. Class/homework
Complete worksheet

10. Exit Slip 1. Which of the following is a solution to 2 – 3-x = - 1 ?
x = b. x = c. x = 0 d. x = 1
e. There are no solutions