1. 12-3-18 AM6.1f To Simplify & Solve with Logs
Got ID?
 A Dog's Worst Nightmare:

2. Active Learning Assignment Questions?

3. LESSON:
Law of Logarithms. If M &N are positive real numbers and b >0, ≠ 1
Exponent Rule: *
The sum of the logs is the log of a product.
Product Rule *
The difference of the logs is the log of a quotient.
Quotient Rule

4. * b b 2 2
Or as we have already seen:
Both sides can be raised to a power, or the log of both sides can be taken.
x = 4.7

5. A base raised to a log of itself is 1.*
Power Rule
Now, remember ?
That’s because * * 1
log b b = 1
A log base of itself is 1.
A base raised to a log of itself is 1.
b 1 = b ?

6. 2 2
D = {x | x > 0} -2
(x – 4) (x + 2) = 0
x = 4 or x = -2
Now, check to see if the 4 and the -2 work.
-2 does not work, it would make the domain negative.

7. 3 3 Right now, we see that “x” cannot be “1”
Now, “1” wasn’t an answer, but we still need to check to see if this answer will make the domain undefined.

8. 4 4
Right now, we see that “x” cannot be “1”
Now, “1” wasn’t an answer, but we still need to check to see if this answer will make the domain undefined.

9. e e TRY: Solve 2 ln x = ln (2x – 1) ln x2 = ln (2x – 1) x2 = 2x – 1
Does it work?
Yes!

10. Active Learning Assignment:
(Answers)
P. 202: 43a (6/5)
43b (9/2)
44a (2)
45a (5)
WOW:
If you are thinking of doing something stupid, don’t let fear and common sense stop you. Really?