1. U6D11 Have out: Bellwork: Solve for x.
Assignment, pencil, red pen, highlighter, calculator
U6D11
Have out:
Bellwork:
Solve for x.
a) 9x = 507
b) 3x+1 = 2700 +1
c) 82x = 124 +1 +1
log 9x = log 507
log 3x+1 = log 2700
log 82x = log 124 +1 +1
x log 9 = log 507 +1
2x log 8 = log 124
(x+1) log 3 = log 2700
2 log 8
2 log 8
log 9
log 9 +1 +1
log 3
log 3 +1 +1 +1
x ≈ 1.16 +1
x ≈ 2.83 +1 +1
total:
x ≈ 6.19 +1

2. Log ( ) + Log ( ) = #
This is the final type of logarithmic equation that we must learn to solve.
Steps:
Example #1:
1) Combine the left side using any combination of the _______, _______, and/or _____ properties.
product
quotient
power
2) Use the ______________ to rewrite the equation from _____ form to ___________ form.
definition of logs
log
exponential
3) Solve for x.

3. Log ( ) + Log ( ) = #
This is the final type of logarithmic equation that we must learn to solve.
Steps:
Example #2:
1) Combine the left side using any combination of the _______, _______, and/or _____ properties.
product
quotient
power
2) Use the ______________ to rewrite the equation from _____ form to ___________ form.
definition of logs
log
Did you check, sucka?
exponential
3) Solve for x.

4. (x – 4)(x + 2) = 0 x – 4 =0 x + 2 = 0 x = 4 x = –2 x = 4
Practice #4: Solve for x. a) b)
Did you check, sucka?
(x – 4)(x + 2) = 0
x – 4 =0
x + 2 = 0
x = 4
x = –2
x = 4

5. Practice #4: Solve for x. c)
–5x
–5x

6. Combine any logs on the same side of an equation using log properties.
Log Equations Summary
We have solved several different types of log equations in this chapter. Copy down the following to help you distinguish between each type. 5 x
= 400
Hints when solving:
Combine any logs on the same side of an equation using log properties.
When there is a single log on one side equal to a # on the other side, rewrite the log in exponential form.

7. Log Equations Summary
Hints when solving:
Combine any logs on the same side of an equation using log properties.
x – 7 = 0
x + 2 = 0
When there is a log equal to a log (and they have the same base), set the arguments equal.
x = 7
x = –2
Check!!!

8. Log Equations Summary
Hints when solving:
If the base and argument cannot be rewritten as common bases, then log both sides and use log properties to solve for the exponent.

9. Finish today's assignment:
Worksheet
But first…

10. Quiz time!! It’s… When you finish, continue working on the worksheet.
Clear your desk except for a pencil and highlighter.
No Calculator!!!
When you finish, continue working on the worksheet.