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