5 a Solve the following equations If you eliminate a solutio

5. a. Solve the following equations. If you eliminate a solution, explain or show why. i. 2 log (4x + 3) = 1 ii. 20(2*) = 100 b. Write each of the following in terms of ln x and/or In y. There should be no other logarithm expressions involved. i. In 2)+ Inoxy ii. 2 In (In x)

Solution

5.a.2log(4x+3)=1

log(4x+3) =1/2

4x+3= 10^1/2

4x= 10^1/2-3

x=(10^1/2-3)/4

ii) 20(2^x)= 100

2^x=5

log 2^x=log 5

xlog 2=log 5

x=log 5/(log 2)