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Alternative : We use the calculator :

AC ln 10 = 2 ˜ 30259 (approx).

Activity : Find the logarithm of the following numbers (each with the base 10 and

e) by using calculator : (i) 2550 (ii) 52˜143 (iii) 0˜4145 (iv) 0˜ 0742

Exercise 4.3

1. On what condition a^0 1?
   a. a 0 b. az 0 c. a! 0 d. az 1


2. Which one of the following is the value of^35 ˜^35?

a.^65 b.

3 3

5 c.

3

5 d.^325

3. On what exact condition loga a 1?

a. a! 0 b. az 1 c. a! 0 ,az 1 d. az 0 ,a! 1

4. If logx 4 2 , what is the value of x?

a. 2 b. r 2 c. 4 d. 10

5. What is the condition for which a number is to be written in the form au 10 n?
   a. 1 a 10 b. 1 dad 10 c. 1 da 10 d. 1 ad 10


6. Observe the following information :

i. loga(m)p plogam

ii. 24 16 and log 216 4 are synonymous.

iii. loga(mn) logamlogan

Which of the above information are correct?

a. iandii b. iiandiii c. iandiii d. i,iiandiii

7. What is the characteristic of the common log of 0 ˜ 0035?

a. 3 b. 1 c. 2 d. 3

8. Considering the number 0 ˜ 0225 , answer the following questions :

(1) Which one of the following is of the form an of the number?

a. ( 2 ˜ 5 )^2 b. (˜ 015 )^2 c. ( 1 ˜ 5 )^2 d. (˜ 15 )^2

(2) Which one of the following is the scientific form of the number?

a. 225 u 10 ^4 b. 22 ˜ 5 u 10 ^3 c. 2 ˜ 25 u 10 ^2 d. ˜ 225 u 10 ^1
(3) What is the characteristic of the common log of the number?

a. 2 b. 1 c. 0 d. 2