Give an equivalent logarithmic for 8 1 3 = 2

Given, 8 1 3 = 2 The logarithm of any number to a given base is equal to the index to which the base should be raised to get the given numbers. If three numbers a , x , n are so related such that, If, a x = n ⇒ log a n = x Here, a = 8 , x = 1 3 , n = 2 Thus, log 8 2 = 1 3 Hence, the required equivalent exponential form is log 8 2 = 1 3 .

Give an equivalent logarithmic for 1 9 = 3 - 2

Given, 1 9 = 3 - 2 The logarithm of any number to a given base is equal to the index to which the base should be raised to get the given numbers. If three numbers a , x , n are so related such that, If, a x = n ⇒ log a n = x Here, a = 3 , x = - 2 , n = 1 9 Thus, log 3 1 9 = - 2 Hence, the required equivalent exponential form is log 3 1 9 = - 2 .

Give an equivalent logarithmic form for 1 32 = 2 - 5

Given, 1 32 = 2 - 5 The logarithm of any number to a given base is equal to the index to which the base should be raised to get the given numbers. If three numbers a , x , n are so related such that, a x = n Then, log a n = x Here, a = 2 , x = - 5 , n = 1 32 Thus, log 2 1 32 = - 5 Hence, the required equivalent exponential form is log 2 1 32 = - 5 .

E M B I B E

ICSE Mathematics>Algebra>Chapter 7 - Logarithms>Exercise

O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 1: Exercise

Author:O P Malhotra, S K Gupta & Anubhuti Gangal

O P Malhotra Mathematics Solutions for Exercise - O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 1: Exercise

Attempt the practice questions from Exercise 1: Exercise with hints and solutions to strengthen your understanding. ICSE Mathematics solutions are prepared by Experienced Embibe Experts.