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

9. Evaluate
try:

10. Questions??

11. Simplify using Inverses

12. Solving Exponential Equations

14. Day 1:
One to One Worksheet #1-26
Homework