# Logarithmic and Trigonometric Functions

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Logarithmic and Trigonometric Functions

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

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

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,

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,

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

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

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

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

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

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

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

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

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BY EVREN GÜREL E MAIL : : Mobile Phone : Phone :

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