1. Puzzle Take a guess at what these statements are saying: power 2 (8) = 3 power 2 (32) = 5 power 3 (9) = 2 power 3 (81) = 4 power 5 (25) = 2 Now see if you can fill in the blanks: power 2 (16) = ____ power 6 (36) = ____ power 5 (125) = ____ power 2 (½) = ____ power 10 (_____) = -3 power ____ (81) = 2 power ____ (81) = 4 power 16 (____) = 3/2

2. definition: A logarithm is ______________. 1. log 2 (32) = 5As heard: ________________________________ What It Means: _________________________ 2. log 3 (27) = 3As heard: ________________________________ What It Means: _________________________ 3. Find log 2 16.

3. 3.786 x 5.419 3.786 + 5.419

5. 10 * 100 = 1000 * 1000000 = 5.62 * 1.21 = Converting to the Same System

7. 5.26 * 1.21 = 10 0.721 * 10 0.083 = 10 0.721 + 0.083 = 10 0.804

9. Switching Between Forms: log b a = x b x = a log(arithmic) form exponential form 4. log 5 1 = ? 5. log b (9) = 2; b = ? 6. log 8 a = -3/2; a = ?

10. Inverse Functions sin30 o = 0.5  sin -1 (0.5) = 30 o (the inverse of sine is __________) 7 2 = 49  (the inverse of square is _____________) Exponentiation also has an inverse function: The inverse of 10 2.6 = 398 is ________________________ def: log b a = x is the inverse of b x = a

11. Work It 1. Write 2 5 = 32 in log form. 2. Write 25 ½ = 5 in log form. 3. Evaluate log 3 27. 4. Solve for b: log b 32 = 5/2