1. Logarithmic Functions
Daily Question:
How do you rewrite logs and exponentials?
How do you solve logs and exponentials?

2. LOGS EQUAL THE
Exponent!

3. Logarithmic Function x = log a y read: “x equals log base a of y”
The inverse of an exponential function is a logarithmic function.
x = log a y
read: “x equals log base a of y”

4. We can convert exponential equations to logarithmic equations and vice versa, using this:

5. Convert to exponential form1) 2) 3)

6. Convert to logarithmic form4) 5) 6)

7. Now that we can convert between the two forms we can simplify logarithmic expressions. Without a Calculator!

8. Simplify “What is the exponent of that gives you 32?”
1) log2 32=x
2x = 32
x = 5
“What is the exponent of 3 that gives you 27?”
2) log3 27=x
3x = 27
x = 3
3) log4 2=x
4x = 2
x = 1/2
4) log3 1=x
3x = 1
x = 0

9. Evaluate
try:

13. Solving Exponential Equations

15. Easy Example…

21. Day 1:
One to One Worksheet
Textbook
Page 277 (2-13, 17-28)
Homework