1. Questions
2. Coming Attractions: Trig, Solve quadratic equations, Rational and Radical functions.
3. Tools Quiz
4. Quick Review: More examples now that we have less time to review:
5. Bases:
a. Base 2, Conversion
b. Any Base What is 10, base 7, 9, 21… 11? 100?
6. What is a Log? number = base^power log(number) = power
a. Base 10, What is the log for the following: 10, 100, 1, 367, 4732, etc
b. Base 2? Base e? any base?
c. y = log(b)^x same as b^y = x
d. Logarithmic Scale Base 10, between 10 and 100. Find 10 grid lines
e. Richter Scale.. why?n 5.6 vs 5.9 on Richter Scale
7. Graph y= log(x)
8. Properties of logs (Skip change of base, 3.11)
a. log(xy) = log(x) + log(y) Examples:
b. log(x/y) = log(x) – log(y)
c. log(x)^y = y log(x)
9. Purpose?? Now we can solve for a variable in the exponent postion:
a. 10^t = 1000 log(10^t) = log(1000) or t (log10) = log(1000) but log10 = 1 and log 1000 = 3, so t(1) = 3, or t = 3.
b. x(y^t) = z y^t = z/x log (y^t) = log(z/x) t(logy) = log(y/z) divide both sides by logy to get t
examples:
10. Problem Solving Quiz