YCCMAnon YCCMAnon

21-05-2021
Mathematics

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

Given the graph of log ylog2x Find the area of the three inscribed rectangles class=

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greenhappypiggies greenhappypiggies

23-05-2021

Answer: [tex]6+2log_{2} 6[/tex]

Step-by-step explanation:

[tex]S=s_{1} +s_{2} +s_{3} = 2(h_{1} +h_{2} +h_{3} )[/tex]

[tex]h_{1} = log_{2}2=1[/tex]

[tex]h_{2} = log_{2}4=2[/tex]

[tex]h_{3} = log_{2}6[/tex]

[tex]S = 2(1+2+log_{2}6) = 6+2log_{2}6[/tex]

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