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