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Jumat, 24 Mei 2013

Contoh Soal Log atematika dalam Bahasa Inggris + Materi AntiLogaritma

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Example 1.16
1.    Solve the following logarithms (numbers greater than 10). a. log 53.2          1 b. log 234,000
2.    Solve the following logarithms (numbers between 0 and 1). a. log 0.532       b. log 0.00532
Answer :
1.       a. log 53.2 = log (5.32 x 10')                                   b. log 234,000 = log (2.34 x 105)
= log 5.32 + log 10'                                         = log 2.34 + log 105
= 0.726 + 1                                                    = 0.369 + 5
= 1.726                                              = 5.369
2.    a. log 0.532                           = log 5.32 x 10' = log 5.32 – 1 = 0.726 – 1 = –0.274
b. log 0.00532 = log 5.32 x 10-3 = log 5.32 – 3 = 0.726 – 3 = –2.274
5. Determining Antilogarithm of a Number
 After learning about the ways to determine the logarithm of a number, now you will be introduced to the concept of the antilogarithm ofa number, which is an inverse of the logarithm. Determining the antilogarithm ofa number means finding a number which is given its logarithm value using antilogarithm table. To determine antilogarithm of a number, study the following examples.
Table 1.2 Antilogarithm Table
X
0
1
2
3
4
5
6
7
8
9
00
100
100
101
101
100
101
101
102
102
102
01
102
103
103
103
103
104
104
104
104
104
02
105
105
105
105
106
106
106
106
107
107
03
107
107
108
108
108
108
109
109
109
109
04
110
110
110
110
111
111
111
111
112
112
05
112
112
113
113
113
114
114
114
114
115
06
115
115
115
116
116
116
116
117
117
117
07
117
118
118
118
119
119
119
119
120
120
08
120
121
121
121
121
122
122
122
122
123
09
123
123
124
124
124
124
125
125
125
126
10
126
126
126
127
127
127
128
128
128
129
11
129
, 129
129
130
130
130
131
131
131
132
12
132
132
132
133
133
133
134
134
134
135

Determine the numbers which satisfy the following logarithms! a. 0.125                         b. 1.412
Answers:
a. Antilog 0.125 = 1.33
From the antilogarithm table, find the two first decimals in the most left column (column x), that is 12, then draw a line horizontally from that number to the right until intersect the column' which indicates number 5, so you obtain 133.
Because the integer (characteristic) is 0, thus the antilog 0.125 = 1.33



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