6.1 - Logarithmic Functions Daily Question: How do you rewrite logs and exponentials? How do you solve logs and exponentials?

LOGS EQUAL THE Exponent!

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”

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

Convert to exponential form 1) 2) 3)

Convert to logarithmic form 4) 5) 6)

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

Simplify “What is the exponent of that gives you 32?” 7. log2 32 2x = 32 x = 5 “What is the exponent of 3 that gives you 27?” 8. log3 27 3x = 27 x = 3 9. log4 2 4x = 2 x = 1/2 10. log3 1 3x = 1 x = 0

Evaluate try:

Questions??

Simplify using Inverses

Solving Exponential Equations

One to One Worksheet AND Day 1: One to One Worksheet AND Textbook Page 490 (17-35 odd, 49-55 odd) Homework