**GSEB Solutions for Class 9 Mathematics – Logarithm (English Medium)**

GSEB SolutionsMathsScience

**Exercise -18**

**Solution 1(1):**

**Solution 1(2):**

Let a = 47.37 × 1.921 × 771

∴ log a

= log 47.37 + log 1.921 + log 771

= 1.6755 + 0.2835 + 2.8871

= 4.8461

∴ antilog(log a) = antilog(4.8461)

∴ a = 70170

**Solution 1(3):**

**Solution 1(4):**

**Solution 1(5):**

**Solution 1(6):**

**Solution 1(7):**

Let a = (51.32)^{5}

∴ log a

= log (51.32)^{5}

= 5 log 51.32

= 5(1.7103)

= 8.5515

∴ antilog(log a) = antilog(8.5515)

∴ a = 356000000

**Solution 1(8):**

**Solution 1(9):**

**Solution 1(10):**

**Solution 2(1):**

b. 89700

8.97 × 10^{4} = 8.97 × 10000 = 89700

**Solution 2(2):**

**Solution 2(3):**

**Solution 2(4):**

**Solution 2(5):**

**Solution 2(6):**

**Solution 2(7):**

b. 4

The characteristic of the number log 55231 is __4__.

**Solution 2(8):**

c. 6

The characteristic of the number log 8989340 is __6__.

**Solution 2(9):**

c. – 3

The characteristic of the number log 0.003942 is __-3__.

**Solution 2(10):**

d. -1

The characteristic of the number log 0.13879 is __-1__.