Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10

## Chapter 10 - Logarithms Exercise Ex. 10.2

Question 1
Express log103 + 1 in terms of log10x.
Solution 1
Question 2
State, true of false:
log (x + y) = log xy
Solution 2
False, since log xy = logx + logy
Question 3
State, true of false:
log 4 x log 1 = 0
Solution 3
True, since log 1= 0 and anything multiplied by 0 is 0.
Question 4
State, true of false:
logba =-logab
Solution 4
Question 5
State, true of false:

Solution 5
Question 6
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:
log 12
Solution 6
Question 7
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:
log 75
Solution 7
Question 8
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:
log 720
Solution 8
Question 9
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:
log 2.25
Solution 9
Question 10
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

Solution 10
Question 11

Solution 11
Question 12
If 2 log x + 1 = 40, find: x
Solution 12
Question 13
If 2 log x + 1 = 40, find: log 5x
Solution 13
Question 14
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y:
log105
Solution 14
Question 15
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y:
log103
Solution 15
Question 16
Simplify:
log a2 + log a-1
Solution 16
Question 17
Simplify:
log b ÷ log b2
Solution 17
Question 18
Find the value of:

Solution 18
Question 19
Find the value of:

Solution 19
Question 20
Find the value of:

Solution 20
Question 21

Solution 21
Question 22
Prove that:
Solution 22
Question 23
Prove that:
Solution 23
Question 24

Solution 24
Question 25
If a = log 20 b = log 25 and 2 log (p - 4) = 2a - b, find the value of 'p'.
Solution 25
Question 26

(vi) log 128
Solution 26

(vi)
Question 27

(vi) log 250
Solution 27

(vi)
Question 28

(vi)

Solution 28

(vi)

Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32

(viii)
Solution 32

(viii)

Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36
Solution 36
Question 37
Solution 37
Question 38
Solution 38
Question 39
Solution 39
Question 40
Solution 40
Question 41
Solution 41
Question 42
Solution 42
Question 43
Solution 43
Question 44
Solution 44
Question 45
Solution 45
Question 46
Solution 46
Question 47
Solution 47
Question 48
Solution 48
Question 49
Solution 49
Question 50
Solution 50
Question 51
Solution 51
Question 52
Solution 52
Question 53
Solution 53
Question 54
Solution 54
Question 55
Solution 55
Question 56
Solution 56