Preparing for University Calculus - Math and Computer Science

Problems: (answers on page 40)1. Find log 10 (0.001).2. Find log 2 (64) + log 3 (9)3. If 3 x = 7, which is true?(a) 7 = log x (3) (b) x = log 7 (3) (c) 3 = log x (7) (d) 7 = log 3 (x)(e) x = log 3 (7) (f) 3 = log 7 (x)4. log 3 (5) log 5 (7) log 7 (9) =(a)1 (b)2 (c)3 (d)4 (e) none of these5. If log a (25) = 4, what is a?(a)1/5 (b) √ 5 (c)5 (d)log 2 (5) (e) none of these6. Find log 100 (1, 000, 000)7. Find log 100 (10)8. If log 10 (2) ≈ 0.301, which of these is closest to log 10 (2000)?(a) 0.6 (b) 3 (c) 6 (d) 30 (e) 60 (f)3009. If log 10 (2) ≈ 0.301, which of these is closest to log 10 (8)?(a) 0.3 (b) 0.6 (c) 0.9 (d) 1.2 (e) 2.4 (f)610. If log 10 (2) ≈ 0.301, which of these is closest to log 2 (10)?(a) 0.5 (b) 1 (c) 3 (d) 5 (e) 20 (f)5011. Find 2 log 2 (17)12. Find 4 log 2 (3)13. If log 3 (10) = K, then log 9 (10) =(a)2K (b)K/3 (c)K/2 (d)K 2 (e)3K (f) √ K31