1. Logarithmic and Trigonometric Functions

2. Logarithmic Function 104 = 10,000 10-1 = 0,1 = 1/10 103 = 1,000
102 = 100
101 = 10
100 = 1
10-1 = 0,1 = 1/10
10-2 = 0,01 = 1/100
10-3 = 0,001 = 1/1000
10-4 = 0,0001 = 1/10000
10-5 = 0,00001 = 1/100000

3. Logarithmic Function Log10 10,000 (104) = 4 Log10 1,000 (103) = 3

4. The index of the log of any given number is one less than the number of figures before the decimal point in the given number.
Log ,37 = 3,
Log10 639,054 = 2,
Log10 73,0956 = 1,
Log10 5,65473 = 0,

5. If the index of the log is less than 1
If the index of the log is less than 1. The number of figures is the how many number of zero the decimal point in the given number.
Log10 0,87635 = - 1,
Log10 0,02536 = - 2,
Log10 0,00234 = - 3,
Log10 0,00053 = - 4,

6. The index of the log is obtained in the given number
The index of the log is obtained in the given number. Then find the matrix with using Norie’s Table.
Log = 3,73062
Log10 537,8 = 2,73062
Log10 53,78 = 1,73062
Log10 5,378 = 0,73062
Log10 0,5378 = - 1,73062
Log10 0, = - 2,73062
Log10 0, = - 3,73062
Log10 0, = - 4,73062

9. Example 1:
Log 5794,5 = ?
3, = 3,76302
Log 5794,5 = 3,76298
+ 4
= 3,76302

10. Example 2:
Log 5541,5
3,73572 = Log ?
3,73572 = 5441,5
= 4

11. The use of logs If a x b = c, then Log a + Log b = Log c
3 x 4 = 12, then Log 3 + Log 4 = Log 12
3 x 4 = 12
Log 3 + Log 4 = Log 12
Log 3 = 0,47712
Log 4 = 0,60206
Log 12= 1,07918

12. The use of logs If a ÷ b = c, then Log a - Log b = Log c
12 ÷ 3 = 4, then Log 12 - Log 3 = Log 4
12 ÷ 3 = 4
Log 12 - Log 3 = Log 4
Log 12= 1,07918
Log 3 = 0,47712
Log 4 = 0,60206

13. Trigonometric Function
Logarithmics values might also be pointed out here that the logs sin, cos, tan, etc., of < A may be derived from their natural number, and we would learn the student to the explanation on how to use these Tables. (Norie’s Table)
Log sin 10 38,7 = 8,45798
Log tan ,5 = 8,55205
Log cosec ,4 = 10,35702
Log sec ,3 = 10,04850
Log cot ,0 = 9,72354

18. Example 3:
Log sin ,8 = ?
9, = 9,70413
“+” ?

19. Example 4:
9,70521 = sin ?
Sin ,8
70521 – = 17

20. THIS PRESANTATION WAS PREPARED
BY EVREN GÜREL
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