Question

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

Answer 1

Answer: $6+2log_{2} 6$

Step-by-step explanation:

$S=s_{1} +s_{2} +s_{3} = 2(h_{1} +h_{2} +h_{3} )$

$h_{1} = log_{2}2=1$

$h_{2} = log_{2}4=2$

$h_{3} = log_{2}6$

$S = 2(1+2+log_{2}6) = 6+2log_{2}6$