# Logarithms RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

**Logarithms RS Aggarwal ICSE** Class-9th Maths Solutions Goyal Brothers Prakashan Chapter-7. We provide step by step Solutions of Exercise / lesson-7 **Logarithms** for **ICSE** Class-9 **RS Aggarwal **Mathematics .

Our Solutions contain all type Questions with Exe-7 A, Exe-7 B with Questions to develop skill and confidence. Visit official Website **CISCE** for detail information about **ICSE** Board Class-9 Mathematics.

**Logarithms RS Aggarwal ICSE** Class-9th Maths Solutions Goyal Brothers Prakashan Chapter-7

**–: Select Topics :–**

### Introduction

Logarithms are the opposite phenomena of exponential like subtraction is the inverse of addition process, and division is the opposite phenomena of multiplication. Logs “undo” exponential.

There are a number of rules known as the laws of logarithms. These allow expressions involving

logarithms to be rewritten in a variety of different ways. The laws apply to logarithms of any base

but the same base must be used throughout a calculation

First Law

log A + log B = log AB

Second Law

log A − log B = log (A/B)

Third Law log An = n log A

log 1 = 0, logmM = 1

**Exercise- 7 A Logarithms RS Aggarwal ICSE** Class-9th Maths Solutions Goyal Brothers Prakashan

Question 1

convert each of the following into logarithm form

…………………………..

Answer

#### Question 2

convert each of the following into exponential form

#### Answer

#### Question 3

by converting into exponential form find value of each of following

#### Answer

#### Question 4

find value of x when

…………………………….

#### Answer

#### Question 5

if log…………. ……….show that…………….

#### Answer

#### Question 6

given log….. ………… =b

……………….

………………..

……………….. term of x and y

#### Answer

**RS Aggarwal ICSE** Class-9th Maths Solutions Goyal Brothers Prakashan **Exercise- 7 B** **Logarithms **

Question 1

evaluate the following without using tables

…………..

…………

……………

…………….

…………….

Answer

#### Question 2

evaluate

………………………..

#### Answer

#### Question 3 and Question 4

3- express …………………….

#### Answer

#### Question 5

express ………………….as a single logarithms

#### Answer

#### Question 6

evaluate the following without using log tables

………….

……………..

…………….

…………

Answer

#### Question 7

given ……………..find value of

…………………..

……………………

…………………….

……………………

#### Answer

#### Question 8

if log 2 = 0.3010 find the value of ……………..

Answer

#### Question 9 to Question 11

if log 8 = 0.9010 find the value of

……………..

…………….

………………

#### Answer

#### Question 12

if log (m+n) = log m+log n show that ……………..

………………….

#### Answer

Question 13

solve for x

…………….

…………….

…………..

……………

……………..

…………..

#### Answer

#### Question 14

if …………………find the value of n

#### Answer

#### Question 15

write the logarithmic equations for

………………..

………………….

Answer

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