Question 1: Simplify each of the following:

Answer:

Question 2: Prove the following:

Answer:

Hence LHS = RHS

(xiii)

Question 3: Express each of the following as the logarithm of a single number:

Answer:

Question 4: Evaluate the following:

Answer:

Question 5: Prove that:

Answer:

. Hence proved.

. Hence proved.

Question 6: , express in terms of .

Answer:

Question 7:

Answer:

Question 8:

Answer:

Question 9:

Answer:

Question 10: .

Answer:

Question 11:

Answer:

Question 12:

Answer:

Question 13:

Answer:

Question 14: , find the following in terms of

Question 15: , , find the value of

Answer:

,

Question 16: , find the value of

Answer:

Question 17: , express in terms of .

Answer:

Question 18: , express in terms of

Answer:

Question 19: , express in terms of .

Answer:

Question 20: , express in terms of .

Answer:

Given:

Question 21: Solve the following:

Answer:

Question 22: , find

Answer:

Question 23: , find the value of ,

Answer:

Question 24: , find the value of each of the following:

Question 25: Without using tables show that

RHS