1. LOGARITHMIC FUNCTIONS

2. LOG FUNCTIONS

4. Exact Values Find the exact value of log 3 81 log 3 81 = x 3 x = 81 3 x = 3 4 x = 4 1.Set the equation equal to “x”. Can’t solve problems without a variable. 2.Rewrite in exponential form. That is why we did all that! 3.Rewrite “81” so it looks the same as the other side. Make 81 look like 3 4.Set the exponents equal to each other.

5. LOG FUNCTIONS I know that is a bit tricky. Let’s try again. Find the exact value of log 169 13. log 169 13 = x 169 x = 13 (13 2 ) x = 13 13 2x = 13 2x = 1 x = 1/2 1.Set the equation equal to “x”. Can’t solve problems without a variable. 2.Rewrite in exponential form. That is why we did all that! 3.Rewrite “169” so it looks the same as the other side. Wait that is not the same as last time!! Why? 4.Set the exponents equal to each other.

6. LOG FUNCTIONS x = -1 x = ½ x = 3