# FRANK Solutions for Class 9 Maths Chapter 10 - Logarithms

Revise textbook problems using Frank Solutions for ICSE Class 9 Mathematics Chapter 10 Logarithms available on TopperLearning. Learn the different laws of logarithm by practising the steps and applying them in Maths problems. Also, understand how to write complete steps to score good marks in logarithm-based problem with the help of our expertly created chapter solutions.

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Page / Exercise

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

(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)

Solution 7

(viii)

Question 8

Solution 8

Question 9

Express log103 + 1 in terms of log10x.

Solution 9

Question 10(a)

State, true of false:

log (x + y) = log xy

Solution 10(a)

False, since log xy = logx + logy

Question 10(b)

State, true of false:

log 4 x log 1 = 0

Solution 10(b)

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

Question 10(c)

State, true of false:

logba =-logab

Solution 10(c)

Question 10(d)

State, true of false:

Solution 10(d)

Question 11(a)

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

log 12

Solution 11(a)

Question 11(b)

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

log 75

Solution 11(b)

Question 11(c)

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

log 720

Solution 11(c)

Question 11(d)

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

log 2.25

Solution 11(d)

Question 11(e)

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

Solution 11(e)

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17(a)

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

Solution 17(a)

Question 17(b)

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

Solution 17(b)

Question 18(a)

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

log105

Solution 18(a)

Question 18(b)

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

log103

Solution 18(b)

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27

Question 28

Solution 28

Question 29

Solution 29

Question 30

Solution 30

Question 31(a)

Simplify:

log a2 + log a-1

Solution 31(a)

Question 31(b)

Simplify:

log b ÷ log b2

Solution 31(b)

Question 32(a)

Find the value of:

Solution 32(a)

Question 32(b)

Find the value of:

Solution 32(b)

Question 32(c)

Find the value of:

Solution 32(c)

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(a)

Prove that:

Solution 41(a)

Question 41(b)

Prove that:

Solution 41(b)

Question 42

Solution 42

Question 43

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

Solution 43

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