Question

Given the graph of log y=log(2)x. Find the area of the three inscribed rectangles

Answer 1

Answer:
`6+2log_(2) 6`

Explanation:

`S=s_(1) +s_(2) +s_(3) = 2(h_(1) +h_(2) +h_(3) )`

`h_(1) = log_(2)2=1`

`h_(2) = log_(2)4=2`

`h_(3) = log_(2)6`

`S = 2(1+2+log_(2)6) = 6+2log_(2)6`