Question

1) 2log4.4log5.5log8 2) 2log(x+1)+2log2=3

Answer 1

2 log4 . 4 log5 . 5 log8
= 2 log5 . 5 log 8
= 2 log 8
= 2 log 2³
= 3

2 log(x + 1) + 2 log 2 = 3
2 log(x + 1)(2) = 2 log2³
2 log(2x + 2) = 2 log8

2x + 2 = 8
2x = 8 - 2
2x = 6
x = 6/2
x = 3

Answer 2

1) 2log4.4log5.5log8
=2 log 8
=2log 2^3
=3
2) 2log(x+1)+2log2=3
2log(x+1)+1=3
2 log(x+1)=2
2log(x+1)=2log 2^2
x+1=2^2
x+1=4
x=3