Chapter 35-Logarithms-Page 445-Answers

Logarithm Law 1 Page 447

1)

2)

X X

3)

X X

4)

5)

Logarithm Law 2 Page 448

1)

2)

X X

3)

X X1

4)

5)

Logarithm Law 3 Page 449

1)

x

2)

x

3)

4)

5)

Logarithm Law 4 Page 449 and 450

1)

2)

3)

4)

5)

Logarithm Law 5 Page 450

1)

2)

3)

4)

5)

Logarithm Law 6 Page 451

1)

2)

3)

4)

5)

Exercises Page 445

1)

It will take (approximately) 21,43 hours

2)

x

53,24 months It will take 4 years 5,24 months to save up R20 000.

Comments on question 2

1. When doing this calculation we need as many decimals as possible. (full display)

in the evaluation of

and also in the evaluation of

x

If we round off early our answer will be wrong.

2. The sensible answer to this question is 4 years 6 months because we dont

stop in the middle of a month.

End of Chapter Exercises-Pages 455-456

1)

(Prove)

Let and

2)

(Prove)

Let = m

3)

L.H.S

x

x x

4(A)

4(B)

Let

4(C)

5(A)

5(B)

5(C)

x

6(A)

7(A)

7(B)

x

8)

9)

10)

10(A)

10(B)

11)

11(A) M is defined if and 11(B)

12)

x

Let log x = a

;

or

or