Page 138 - Mathematics_Form_Two

Logarithms

to the base available in your calculator Example 6�23
and record the answer. Use a calculator to find the number
Answers whose logarithm is:
(a) 0 (b) −1.5969 (a) 3 (b) 0.7
(c) Does not exist (d) 2.5514 (c) 2− (d) 1.8810
FOR ONLINE READING ONLY
(e) 3.4038 (f) 1.7989 (e) 3.7515 (f) 1.2466
Mathematics for Secondary Schools Antilogarithms Enter the keystrokes to find the
(h) 1.8107
(g) 4.8788
Solution

antilogarithm of a number based on
An antilogarithm of a number is the
the available calculator and record the
inverse process of finding a number
answer.
whose logarithm is known. For instance,
since 1.7989 is the logarithm of 62.94,
(a) 1000 (c) 0.01
then 62.94 is called the antilogarithm Answers (e) 5642.87
of 1.7989. This can also be read as (b) 5.01 (d) 76.03 (f) (f) 17.64
62.94 is the antilogarithm of 1.7989 or
10 1.7989 = 62.94 Exercise 6�4

In general, the antilogarithm of a number
1
−
x is denoted as log x. Engage in Activity 1. Use a calculator to find the logarithm

6.2 to explore about antilogarithm of each the following numbers:
giving the answer correct to 4
Activity 6�2: Determining decimal places.
antilogarithms by using (a) 1.583 (b) 2.98
calculators
1. Explore the internet or other sources (c) 4.088 (d) 8.541
and learn different ways to determine
the antilogarithms. (e) 9.007 (f) 6
2. Explore any available mathematical (g) 3.444 (h) 7.5348
software or calculating devices to
learn how to determine antilogarithms. 2. Use a calculator to find the logarithm
3. Choose different numbers and find of each the following numbers: giving
their respective logarithms. the answer correct to 4 decimal
4. Use the mathematical software places.
or calculating device to find the
antilogarithms of the results in task 3. (a) 0.682 (b) 0.008
5. Compare the numbers you have chosen
in task 3 with those obtained in task 4. (c) 0.74 (d) 0.0000449
6. Explain to others how you arrived (e) 0.031199 (f) 0.01478
at your results and any patterns you
noticed. (g) 0.125 (h) 0.00981

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Student's Book Form Two

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