Condense the following

Question

2(log5(18)-log5(3)) +1/2log5 1/16

Answer 1

2(log[5](18/3))+(1/2)log[5](1/16)

2log[5](6)+(1/2)log[5](1/16)

log[5](6^2)+log[5](1/16)^(1/2)

log[5]36+log[5](1/4)

log[5](36*[1/4])

log[5](9)

Answer 2

First consider log5(18)-log5(3) = log5(18/3)=log5(6)

Second, 2( log5(18)-log5(3))   = log5(6^2)= log5(36)

Third, 1/2log5(1/16) = -1/2log5(16) = -log5(16^0.5) = -log5(4)

Fourth, 2(log5(18)-log5(3)) +1/2log5 1/16 = log5(36)-log5(4) = log5(36/4)=log5(9)=== Answer

 

Hope this helps Aisha. Should you need any more help or any tutoring sessions, I would be happy to help. Good luck!