Introduction to Logs
For each of the following, find the power that this base needs to be raised to, to give
the number in the brackets.
1 ) log5(125)
31 ) log2(1/2)
2 ) log9(1)
32 ) log7(1/1)
3 ) log6(216)
33 ) log5(1/5)
4 ) log4(1)
34 ) log10(1/1000)
5 ) log5(1)
35 ) log9(1/1)
6 ) log7(1)
36 ) log10(1/10)
7 ) log7(2401)
37 ) log7(1/49)
8 ) log6(6)
38 ) log8(1/512)
9 ) log8(8)
39 ) log2(1/16)
10 ) log3(81)
40 ) log2(1/8)
11 ) log10(1)
41 ) log6(1/216)
12 ) log7(2401)
42 ) log8(1/512)
13 ) log2(8)
43 ) log2(1/1)
14 ) log10(100)
44 ) log6(1/216)
15 ) log4(16)
45 ) log100(10)
16 ) log7(2401)
46 ) log4(1/2)
17 ) log6(216)
47 ) log25(5)
18 ) log10(1)
48 ) log36(6)
19 ) log4(16)
49 ) log25(1/5)
20 ) log9(81)
50 ) log9(3)
21 ) log5(625)
51 ) log64(8)
22 ) log7(2401)
52 ) log4(2)
23 ) log10(10)
53 ) log25(1/5)
24 ) log4(256)
54 ) log4(2)
25 ) log10(100)
55 ) log36(1/6)
26 ) log5(625)
56 ) log9(1/3)
27 ) log10(10000)
57 ) log49(7)
28 ) log10(10)
58 ) log25(5)
29 ) log9(9)
59 ) log64(8)
30 ) log10(100)
60 ) log64(1/8)
For each of the following, evaluate the log normally AND with the base numeral in
scientific notation.
(Good practice for Chemistry, as pH  log[ H 3 0  ] )
61 ) log10(0.000001)
71 ) log10(0.0000000001)
62 ) log10(0.0000001)
72 ) log10(0.0000000001)
63 ) log10(100000000)
73 ) log10(1000000)

64 ) log10(10000000)
74 ) log10(100000000)
65 ) log10(1000000)
75 ) log10(0.000000001)
66 ) log10(100000)
76 ) log10(0.0001)
67 ) log10(0.0001)
77 ) log10(0.000001)
68 ) log10(0.0001)
78 ) log10(0.00000001)
69 ) log10(0.001)
79 ) log10(0.0000001)
70
)
log10(1)
80
)
log10(100000000)