ICSE Worksheet for chapter-1 Logarithms class 9

ICSE Worksheet for chapter-1 Logarithms class 9

Worksheet For class 9

Find ICSE Worksheet for chapter-1 Logarithms class 9

CLASS-9

BOARD: ICSE

Mathematic Worksheet - 1

TOPIC: Logarithms

For other ICSE Worksheet for class 9 Mathematic check out main page of Physics Wallah.

SUMMARY

Fundamental of Logarithm

viii) If a is a positive real number and n is a positive rational number then , a ^log _a ⁡n =n

ix) If a is a positive real number and n is a positive rational number then, p ^log _a ⁡q n ^p =p/q log _a⁡ n

x)p ^log _a ⁡q = q ^log _a ⁡p

xi) log _a ⁡x =log _a ⁡y, x=y

Subjective

1. If =4 find the value of a.

2. Find the value of - +

3. If 2log ₄ ⁡(x-1), find x.

4. Evaluate3 ^{(2-log _3⁡5 )}

5. If A = log ₂₇ ⁡625 + 7 ^{log ₁₁ ⁡} 13 and B= log _9⁡ 125+ 13 ^{log ₁₁ ⁡} 7then find the relation between A and B.

6. Find the value of log _25⁡ 125 -log _8⁡4

Objective

1. If = 100 and =10 then value of y is

a) 2 ¹⁰⁰⁰

b) 2 ¹⁰⁰

c) 2 ²⁰⁰⁰

d) 2 ¹⁰⁰⁰

2. Find the value of x if 2

a) x= -4/3

b) x=7 ^-1/2

c) x=7 ^-4/2

d) Either b or c

3. log ₁₀ ⁡(1+1/2) ⁡+log ₁₀ (1+1/3) ⁡+ log ₁₀ (1+1/4) +⋯.+ log _{10 (} 1+1/1999 ) When simplified has the value

a) 1

b) 3

c) 10

d) 100

4. If =2.5 then find out total no. of digits in N

a) 3

b) 4

c) 5

d) cannot be determined

5. If log x =n then 2n=

a) log (x ² )

b) (log x) ²

c) log (x+2)

d) log 2x

6. Given log 2=o.3010 then log 16 is

a) 2.4080

b) 1.2040

c) 0.2408

d) 1.9030

7. The value of (log _10⁡ (5 log _10⁡ 100) ) ² is

a) 0

b) 1

c) 2

d) 10

8. If log _10⁡ (log ₁₀ ⁡(log _10⁡ x ) )= 0

a) x= 10 ³

b) x= 10 ¹⁰ c) x= 15 ⁵

d) none

9. If = √(x/y)+√(y/x)and x+y =10 then the value of xy will be

a) 16

b) 9

c) 2

d) 10

Solutions: to worksheet-1 Topic-Logarithms

Subjective:

1) a = 81

2) 0

3) x=2

4) 9/5

5) A < B

Objective:

1) a

2) d

3) b

4) a

5) a

6) b

7) b

8) b

9) b