APPROXIMATING LOGS 1. Using the approximate values log b (12) = 1.5 and log b (4) = 0.8 find: a. log b ( 3 12 )

b. log b (16)

c. log b (48)

2. Using the approximate values log 10 (2) = 0.3 and log 10 (3) = 0.48 find: a. log 10 (6)

b. log 10 (5)

c. log 10 (9)

3. Using the approximate values log 3 (2) = 0.63 and log 3 20 = 2.73 find: a. log 3 (18)

b. log 3 ( 3 20 )

c. log 3 (1/10)

4. Using the approximate values log 5 (3) = 0.7 and log 5 (24) = 1.9 find: a. log 5 (27)

b. log 5 (1/8)

c. log 5 (15)

5. Using the approximate values log 3 (2) = 0.63 and log 3 (10) = 2.1 find: a. log 3 (8)

b. log 3 (1/5)

c. log 3 (30)

6. Using the approximate values log 9 (2) = .32 and log 9 (20) = 1.86 find: a. log 9 ( 20 )

b. log 9 (18)

7. Using the approximate value log b (5 )= 2.3 find log b (15b4 ) – log b (3) 8. Using the approximate values log 1.2 (2) = 4 and log 1.2 (6) = 10 find: a. log 1.2 (8 1.2)

b. log 1.2 (1/3)

9. Using the approximate value log b (2) = 5 and log b (6) = 1 find log b 10. Given log b (2) = 1.262 and log b (14) = 4.804 find: a. log b (16 b)

⎛ 3 28 ⎞ b. log b ⎜ 2 ⎟ ⎜ b ⎟ ⎝ ⎠

⎛ 1 ⎞ c, log b ⎜⎜ ⎟⎟ ⎝ 7⎠

8b 3 6

/approximating_logs

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