Given equation is log 2 x = 3 We know that logarithmic functions are inverses of exponential functions. So, for a > 0 , a ≠ 1 and c > 0 , log a c = b ⇒ c = a b So, log 2 x = 3 ⇒ x = 2 3 ∴ x = 8 Which is the required solution of given equation.

Given equation is log 3 x = 2 We know that logarithmic functions are inverses of exponential functions. So, for a > 0 , a ≠ 1 and c > 0 , log a c = b ⇒ c = a b So, log 3 x = 2 ⇒ x = 3 2 ∴ x = 9 Which is the required solution of given equation.

Given equation is log 4 x = 0 We know that logarithmic functions are inverses of exponential functions. So, for a > 0 , a ≠ 1 and c > 0 , log a c = b ⇒ c = a b So, log 4 x = 0 ⇒ x = 4 0 ∴ x = 1 Which is the required solution of given equation.

Given equation is log x 49 = 2 We know that logarithmic functions are inverses of exponential functions. So, for a > 0 , a ≠ 1 and c > 0 , log a c = b ⇒ c = a b So, log x 49 = 2 ⇒ 49 = x 2 ∴ x = 7 Which is the required solution of given equation.

E M B I B E

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2B

Sue Pemberton, Julianne Hughes and, Julian Gilbey Solutions for Chapter: Logarithmic and Exponential Functions, Exercise 3: EXERCISE 2B

Author:Sue Pemberton, Julianne Hughes & Julian Gilbey

Sue Pemberton Mathematics Solutions for Exercise - Sue Pemberton, Julianne Hughes and, Julian Gilbey Solutions for Chapter: Logarithmic and Exponential Functions, Exercise 3: EXERCISE 2B

Attempt the free practice questions on Chapter 2: Logarithmic and Exponential Functions, Exercise 3: EXERCISE 2B with hints and solutions to strengthen your understanding. Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book solutions are prepared by Experienced Embibe Experts.