9th Class Mathematics Unit 2 Logarithms Numericals with Solutions

2.3.1.Find characteristic of the following numbers: (i) 5287 (ii) 59.28 (iii) 0.0567 (iv) 234.7 (v) 0.000049 (vi) 145000

Result

(i) 3

(ii) 1

(iii) -2

(iv) 2

(v) -5

(vi) 5

2.3.2.Find logarithm of the following numbers: (i) 43 (ii) 579 (iii) 1.982 (iv) 0.0876 (v) 0.047 (vi) 0.000354

2.3.3.If log 3.177 = 0.5019, then find: (i) log 3177 (ii) log 31.77 (iii) log 0.03177

Given

log 3.177 = 0.5019

Result

(i) log 3177 = 3.5019 (Characteristic=3, Mantissa=0.5019)

(ii) log 31.77 = 1.5019 (Characteristic=1, Mantissa=0.5019)

(iii) log 0.03177 = -2+0.5019 = -1.4981 (Characteristic=-2, Mantissa=0.5019)

2.3.4.Find the value of x. (i) log x=0.0065 (ii) log x=1.192 (iii) log x=-3.434 (iv) log x=-1.5726 (v) log x=4.3561 (vi) log x=-2.0184

Result

(i) x=antilog(0.0065)=1.015

(ii) x=antilog(1.192)=15.56

(iii) log x=-3.434=-4+0.566 ⇒ x=antilog(bar{4}.566)=0.0003681

(iv) log x=-1.5726=-2+0.4274 ⇒ x=antilog(bar{2}.4274)=0.02675

(v) x=antilog(4.3561)=22700

(vi) log x=-2.0184=-3+0.9816 ⇒ x=antilog(bar{3}.9816)=0.009585

Unit 2: Logarithms — Exercise 2 3