Chapter 10 : Logarithms - Frank Solutions for Class 9 Maths ICSE

Mathematics in ICSE Class 9 is one of the most challenging and trickiest subjects of all. It includes complex topics such as logarithms, expansions, indices and Pythagoras Theorem which are difficult to understand for an average student. TopperLearning provides study materials for ICSE Class 9 Mathematics to make the subject easy and help students to clear all their concepts. Our study materials comprise numerous video lessons, question banks, revision notes and sample papers which help achieve success in the examination.

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Chapter 10 - Logarithms Excercise Ex. 10.1

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 Excercise Ex. 10.2

Question 1

  (vi) log 128

Solution 1

(vi)

Question 2

(vi) log 250

Solution 2

(vi)

Question 3

   (vi)

          

Solution 3

(vi)

       

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

  (viii) begin mathsize 12px style log subscript 2 straight x space plus space log subscript 4 straight x space plus space log subscript 16 straight x space equals space 21 over 4 end style

Solution 7

 (viii)

      

Question 8

Solution 8

Question 9

Express log103 + 1 in terms of log10x.

Solution 9

Question 10

State, true of false:

log (x + y) = log xy

Solution 10

False, since log xy = logx + logy

Question 11

State, true of false:

log 4 x log 1 = 0

Solution 11

True, since log 1= 0 and anything multiplied by 0 is 0.

Question 12

State, true of false:

logba =-logab

Solution 12

Question 13

 State, true of false:

  

Solution 13

Question 14

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

log 12

Solution 14

Question 15

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

log 75

Solution 15

Question 16

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

log 720

Solution 16

Question 17

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

log 2.25

Solution 17

Question 18

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c:

  

Solution 18

Question 19

  

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

If 2 log x + 1 = 40, find: x

Solution 24

Question 25

If 2 log x + 1 = 40, find: log 5x

Solution 25

Question 26

If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y:

log105

Solution 26

Question 27

If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y:

log103

Solution 27

Question 28

Solution 28

Question 29

Solution 29

Question 30

Solution 30

Question 31

Solution 31

Question 32

Solution 32

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

Simplify:

log a2 + log a-1

Solution 40

Question 41

Simplify:

log b ÷ log b2

Solution 41

Question 42

Find the value of:

  

Solution 42

Question 43

Find the value of:

  

Solution 43

Question 44

Find the value of:

  

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

Prove that:

Solution 53

Question 54

Prove that:

Solution 54

Question 55

  

Solution 55

Question 56

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

Solution 56

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